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Finding the Third Proportional to 191,998.13 and 258,466.50

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Solution

The third proportional to 191,998.13 and 258,466.50 is: 347,945.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,998.13 : 258,466.50 = 258,466.50 : x
  2. Step 2: Convert to fraction form
    191,998.13/258,466.50 = 258,466.50/x
  3. Step 3: Cross multiply
    191,998.13x = 258,466.50 × 258,466.50
  4. Step 4: Simplify right side
    191,998.13x = 66,804,931,622.25
  5. Step 5: Solve for x
    x = 66,804,931,622.25/191,998.13
  6. Step 6: Final answer
    x = 347,945.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.