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Finding the Third Proportional to 116,920 and 252,523

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Solution

The third proportional to 116,920 and 252,523 is: 545,397.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,920 : 252,523 = 252,523 : x
  2. Step 2: Convert to fraction form
    116,920/252,523 = 252,523/x
  3. Step 3: Cross multiply
    116,920x = 252,523 × 252,523
  4. Step 4: Simplify right side
    116,920x = 63,767,865,529
  5. Step 5: Solve for x
    x = 63,767,865,529/116,920
  6. Step 6: Final answer
    x = 545,397.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.