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Finding the Third Proportional to 137,412 and 292,824

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Solution

The third proportional to 137,412 and 292,824 is: 624,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412 : 292,824 = 292,824 : x
  2. Step 2: Convert to fraction form
    137,412/292,824 = 292,824/x
  3. Step 3: Cross multiply
    137,412x = 292,824 × 292,824
  4. Step 4: Simplify right side
    137,412x = 85,745,894,976
  5. Step 5: Solve for x
    x = 85,745,894,976/137,412
  6. Step 6: Final answer
    x = 624,005.87

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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.