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Finding the Third Proportional to 85,045.50 and 186,250

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Solution

The third proportional to 85,045.50 and 186,250 is: 407,888.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,045.50 : 186,250 = 186,250 : x
  2. Step 2: Convert to fraction form
    85,045.50/186,250 = 186,250/x
  3. Step 3: Cross multiply
    85,045.50x = 186,250 × 186,250
  4. Step 4: Simplify right side
    85,045.50x = 34,689,062,500
  5. Step 5: Solve for x
    x = 34,689,062,500/85,045.50
  6. Step 6: Final answer
    x = 407,888.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.