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Finding the Third Proportional to 125,650 and 270,982

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Solution

The third proportional to 125,650 and 270,982 is: 584,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,650 : 270,982 = 270,982 : x
  2. Step 2: Convert to fraction form
    125,650/270,982 = 270,982/x
  3. Step 3: Cross multiply
    125,650x = 270,982 × 270,982
  4. Step 4: Simplify right side
    125,650x = 73,431,244,324
  5. Step 5: Solve for x
    x = 73,431,244,324/125,650
  6. Step 6: Final answer
    x = 584,411.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.