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Finding the Third Proportional to 161,472 and 250,886

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Solution

The third proportional to 161,472 and 250,886 is: 389,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,472 : 250,886 = 250,886 : x
  2. Step 2: Convert to fraction form
    161,472/250,886 = 250,886/x
  3. Step 3: Cross multiply
    161,472x = 250,886 × 250,886
  4. Step 4: Simplify right side
    161,472x = 62,943,784,996
  5. Step 5: Solve for x
    x = 62,943,784,996/161,472
  6. Step 6: Final answer
    x = 389,812.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.