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Finding the Third Proportional to 127,588.92 and 278,523.56

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Solution

The third proportional to 127,588.92 and 278,523.56 is: 608,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,588.92 : 278,523.56 = 278,523.56 : x
  2. Step 2: Convert to fraction form
    127,588.92/278,523.56 = 278,523.56/x
  3. Step 3: Cross multiply
    127,588.92x = 278,523.56 × 278,523.56
  4. Step 4: Simplify right side
    127,588.92x = 77,575,374,867.69
  5. Step 5: Solve for x
    x = 77,575,374,867.69/127,588.92
  6. Step 6: Final answer
    x = 608,010.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.