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Finding the Third Proportional to 127,577 and 279,697

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Solution

The third proportional to 127,577 and 279,697 is: 613,201.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,577 : 279,697 = 279,697 : x
  2. Step 2: Convert to fraction form
    127,577/279,697 = 279,697/x
  3. Step 3: Cross multiply
    127,577x = 279,697 × 279,697
  4. Step 4: Simplify right side
    127,577x = 78,230,411,809
  5. Step 5: Solve for x
    x = 78,230,411,809/127,577
  6. Step 6: Final answer
    x = 613,201.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.