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Finding the Third Proportional to 127,534 and 279,969

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Solution

The third proportional to 127,534 and 279,969 is: 614,601.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,534 : 279,969 = 279,969 : x
  2. Step 2: Convert to fraction form
    127,534/279,969 = 279,969/x
  3. Step 3: Cross multiply
    127,534x = 279,969 × 279,969
  4. Step 4: Simplify right side
    127,534x = 78,382,640,961
  5. Step 5: Solve for x
    x = 78,382,640,961/127,534
  6. Step 6: Final answer
    x = 614,601.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.