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Finding the Third Proportional to 127,593 and 278,532.28

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Solution

The third proportional to 127,593 and 278,532.28 is: 608,028.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,593 : 278,532.28 = 278,532.28 : x
  2. Step 2: Convert to fraction form
    127,593/278,532.28 = 278,532.28/x
  3. Step 3: Cross multiply
    127,593x = 278,532.28 × 278,532.28
  4. Step 4: Simplify right side
    127,593x = 77,580,231,698.33
  5. Step 5: Solve for x
    x = 77,580,231,698.33/127,593
  6. Step 6: Final answer
    x = 608,028.90

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