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Finding the Third Proportional to 137,375.25 and 292,895.25

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Solution

The third proportional to 137,375.25 and 292,895.25 is: 624,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,375.25 : 292,895.25 = 292,895.25 : x
  2. Step 2: Convert to fraction form
    137,375.25/292,895.25 = 292,895.25/x
  3. Step 3: Cross multiply
    137,375.25x = 292,895.25 × 292,895.25
  4. Step 4: Simplify right side
    137,375.25x = 85,787,627,472.56
  5. Step 5: Solve for x
    x = 85,787,627,472.56/137,375.25
  6. Step 6: Final answer
    x = 624,476.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.