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Finding the Third Proportional to 191,460.38 and 398,675.25

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Solution

The third proportional to 191,460.38 and 398,675.25 is: 830,155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,460.38 : 398,675.25 = 398,675.25 : x
  2. Step 2: Convert to fraction form
    191,460.38/398,675.25 = 398,675.25/x
  3. Step 3: Cross multiply
    191,460.38x = 398,675.25 × 398,675.25
  4. Step 4: Simplify right side
    191,460.38x = 158,941,954,962.56
  5. Step 5: Solve for x
    x = 158,941,954,962.56/191,460.38
  6. Step 6: Final answer
    x = 830,155.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.