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Finding the Third Proportional to 120,732.71 and 262,207.76

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Solution

The third proportional to 120,732.71 and 262,207.76 is: 569,463.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,732.71 : 262,207.76 = 262,207.76 : x
  2. Step 2: Convert to fraction form
    120,732.71/262,207.76 = 262,207.76/x
  3. Step 3: Cross multiply
    120,732.71x = 262,207.76 × 262,207.76
  4. Step 4: Simplify right side
    120,732.71x = 68,752,908,257.06
  5. Step 5: Solve for x
    x = 68,752,908,257.06/120,732.71
  6. Step 6: Final answer
    x = 569,463.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.