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Finding the Third Proportional to 114,792 and 243,479

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Solution

The third proportional to 114,792 and 243,479 is: 516,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,792 : 243,479 = 243,479 : x
  2. Step 2: Convert to fraction form
    114,792/243,479 = 243,479/x
  3. Step 3: Cross multiply
    114,792x = 243,479 × 243,479
  4. Step 4: Simplify right side
    114,792x = 59,282,023,441
  5. Step 5: Solve for x
    x = 59,282,023,441/114,792
  6. Step 6: Final answer
    x = 516,429.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.