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Finding the Third Proportional to 123,052.92 and 268,881.40

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Solution

The third proportional to 123,052.92 and 268,881.40 is: 587,529.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,052.92 : 268,881.40 = 268,881.40 : x
  2. Step 2: Convert to fraction form
    123,052.92/268,881.40 = 268,881.40/x
  3. Step 3: Cross multiply
    123,052.92x = 268,881.40 × 268,881.40
  4. Step 4: Simplify right side
    123,052.92x = 72,297,206,425.71
  5. Step 5: Solve for x
    x = 72,297,206,425.71/123,052.92
  6. Step 6: Final answer
    x = 587,529.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.