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Finding the Third Proportional to 136,344 and 292,116

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Solution

The third proportional to 136,344 and 292,116 is: 625,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,344 : 292,116 = 292,116 : x
  2. Step 2: Convert to fraction form
    136,344/292,116 = 292,116/x
  3. Step 3: Cross multiply
    136,344x = 292,116 × 292,116
  4. Step 4: Simplify right side
    136,344x = 85,331,757,456
  5. Step 5: Solve for x
    x = 85,331,757,456/136,344
  6. Step 6: Final answer
    x = 625,856.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.