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Finding the Third Proportional to 116,436 and 250,680

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Solution

The third proportional to 116,436 and 250,680 is: 539,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,436 : 250,680 = 250,680 : x
  2. Step 2: Convert to fraction form
    116,436/250,680 = 250,680/x
  3. Step 3: Cross multiply
    116,436x = 250,680 × 250,680
  4. Step 4: Simplify right side
    116,436x = 62,840,462,400
  5. Step 5: Solve for x
    x = 62,840,462,400/116,436
  6. Step 6: Final answer
    x = 539,699.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.