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Finding the Third Proportional to 119,416 and 251,792

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Solution

The third proportional to 119,416 and 251,792 is: 530,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,416 : 251,792 = 251,792 : x
  2. Step 2: Convert to fraction form
    119,416/251,792 = 251,792/x
  3. Step 3: Cross multiply
    119,416x = 251,792 × 251,792
  4. Step 4: Simplify right side
    119,416x = 63,399,211,264
  5. Step 5: Solve for x
    x = 63,399,211,264/119,416
  6. Step 6: Final answer
    x = 530,910.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.