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Finding the Third Proportional to 125,217.56 and 277,445.25

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Solution

The third proportional to 125,217.56 and 277,445.25 is: 614,736.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,217.56 : 277,445.25 = 277,445.25 : x
  2. Step 2: Convert to fraction form
    125,217.56/277,445.25 = 277,445.25/x
  3. Step 3: Cross multiply
    125,217.56x = 277,445.25 × 277,445.25
  4. Step 4: Simplify right side
    125,217.56x = 76,975,866,747.56
  5. Step 5: Solve for x
    x = 76,975,866,747.56/125,217.56
  6. Step 6: Final answer
    x = 614,736.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.