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Finding the Third Proportional to 127,532 and 279,306

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Solution

The third proportional to 127,532 and 279,306 is: 611,704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,532 : 279,306 = 279,306 : x
  2. Step 2: Convert to fraction form
    127,532/279,306 = 279,306/x
  3. Step 3: Cross multiply
    127,532x = 279,306 × 279,306
  4. Step 4: Simplify right side
    127,532x = 78,011,841,636
  5. Step 5: Solve for x
    x = 78,011,841,636/127,532
  6. Step 6: Final answer
    x = 611,704.06

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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.