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Finding the Third Proportional to 127,860 and 200,577

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Solution

The third proportional to 127,860 and 200,577 is: 314,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,860 : 200,577 = 200,577 : x
  2. Step 2: Convert to fraction form
    127,860/200,577 = 200,577/x
  3. Step 3: Cross multiply
    127,860x = 200,577 × 200,577
  4. Step 4: Simplify right side
    127,860x = 40,231,132,929
  5. Step 5: Solve for x
    x = 40,231,132,929/127,860
  6. Step 6: Final answer
    x = 314,649.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.