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Finding the Third Proportional to 137,224 and 292,880

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Solution

The third proportional to 137,224 and 292,880 is: 625,099.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,224 : 292,880 = 292,880 : x
  2. Step 2: Convert to fraction form
    137,224/292,880 = 292,880/x
  3. Step 3: Cross multiply
    137,224x = 292,880 × 292,880
  4. Step 4: Simplify right side
    137,224x = 85,778,694,400
  5. Step 5: Solve for x
    x = 85,778,694,400/137,224
  6. Step 6: Final answer
    x = 625,099.80

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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.