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Finding the Third Proportional to 124,644 and 270,320

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Solution

The third proportional to 124,644 and 270,320 is: 586,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,644 : 270,320 = 270,320 : x
  2. Step 2: Convert to fraction form
    124,644/270,320 = 270,320/x
  3. Step 3: Cross multiply
    124,644x = 270,320 × 270,320
  4. Step 4: Simplify right side
    124,644x = 73,072,902,400
  5. Step 5: Solve for x
    x = 73,072,902,400/124,644
  6. Step 6: Final answer
    x = 586,252.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.