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Finding the Third Proportional to 125,313 and 270,186

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Solution

The third proportional to 125,313 and 270,186 is: 582,545.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,313 : 270,186 = 270,186 : x
  2. Step 2: Convert to fraction form
    125,313/270,186 = 270,186/x
  3. Step 3: Cross multiply
    125,313x = 270,186 × 270,186
  4. Step 4: Simplify right side
    125,313x = 73,000,474,596
  5. Step 5: Solve for x
    x = 73,000,474,596/125,313
  6. Step 6: Final answer
    x = 582,545.10

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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.