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Finding the Third Proportional to 120,932 and 261,564

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Solution

The third proportional to 120,932 and 261,564 is: 565,737.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,932 : 261,564 = 261,564 : x
  2. Step 2: Convert to fraction form
    120,932/261,564 = 261,564/x
  3. Step 3: Cross multiply
    120,932x = 261,564 × 261,564
  4. Step 4: Simplify right side
    120,932x = 68,415,726,096
  5. Step 5: Solve for x
    x = 68,415,726,096/120,932
  6. Step 6: Final answer
    x = 565,737.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.