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Finding the Third Proportional to 137,381 and 292,908

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Solution

The third proportional to 137,381 and 292,908 is: 624,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,381 : 292,908 = 292,908 : x
  2. Step 2: Convert to fraction form
    137,381/292,908 = 292,908/x
  3. Step 3: Cross multiply
    137,381x = 292,908 × 292,908
  4. Step 4: Simplify right side
    137,381x = 85,795,096,464
  5. Step 5: Solve for x
    x = 85,795,096,464/137,381
  6. Step 6: Final answer
    x = 624,504.82

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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.