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Finding the Third Proportional to 161,499 and 247,898

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Solution

The third proportional to 161,499 and 247,898 is: 380,518.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,499 : 247,898 = 247,898 : x
  2. Step 2: Convert to fraction form
    161,499/247,898 = 247,898/x
  3. Step 3: Cross multiply
    161,499x = 247,898 × 247,898
  4. Step 4: Simplify right side
    161,499x = 61,453,418,404
  5. Step 5: Solve for x
    x = 61,453,418,404/161,499
  6. Step 6: Final answer
    x = 380,518.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.