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Finding the Third Proportional to 125,491.22 and 244,677.38

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Solution

The third proportional to 125,491.22 and 244,677.38 is: 477,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,491.22 : 244,677.38 = 244,677.38 : x
  2. Step 2: Convert to fraction form
    125,491.22/244,677.38 = 244,677.38/x
  3. Step 3: Cross multiply
    125,491.22x = 244,677.38 × 244,677.38
  4. Step 4: Simplify right side
    125,491.22x = 59,867,017,836.89
  5. Step 5: Solve for x
    x = 59,867,017,836.89/125,491.22
  6. Step 6: Final answer
    x = 477,061.41

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.