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Finding the Third Proportional to 111,700 and 243,472

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Solution

The third proportional to 111,700 and 243,472 is: 530,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,700 : 243,472 = 243,472 : x
  2. Step 2: Convert to fraction form
    111,700/243,472 = 243,472/x
  3. Step 3: Cross multiply
    111,700x = 243,472 × 243,472
  4. Step 4: Simplify right side
    111,700x = 59,278,614,784
  5. Step 5: Solve for x
    x = 59,278,614,784/111,700
  6. Step 6: Final answer
    x = 530,694.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.