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Finding the Third Proportional to 125,381.81 and 244,484.44

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Solution

The third proportional to 125,381.81 and 244,484.44 is: 476,724.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,381.81 : 244,484.44 = 244,484.44 : x
  2. Step 2: Convert to fraction form
    125,381.81/244,484.44 = 244,484.44/x
  3. Step 3: Cross multiply
    125,381.81x = 244,484.44 × 244,484.44
  4. Step 4: Simplify right side
    125,381.81x = 59,772,640,179.69
  5. Step 5: Solve for x
    x = 59,772,640,179.69/125,381.81
  6. Step 6: Final answer
    x = 476,724.97

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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.