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Finding the Third Proportional to 161,460 and 250,866

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Solution

The third proportional to 161,460 and 250,866 is: 389,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,460 : 250,866 = 250,866 : x
  2. Step 2: Convert to fraction form
    161,460/250,866 = 250,866/x
  3. Step 3: Cross multiply
    161,460x = 250,866 × 250,866
  4. Step 4: Simplify right side
    161,460x = 62,933,749,956
  5. Step 5: Solve for x
    x = 62,933,749,956/161,460
  6. Step 6: Final answer
    x = 389,779.20

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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.