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Finding the Third Proportional to 127,525.96 and 278,365.36

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Solution

The third proportional to 127,525.96 and 278,365.36 is: 607,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,525.96 : 278,365.36 = 278,365.36 : x
  2. Step 2: Convert to fraction form
    127,525.96/278,365.36 = 278,365.36/x
  3. Step 3: Cross multiply
    127,525.96x = 278,365.36 × 278,365.36
  4. Step 4: Simplify right side
    127,525.96x = 77,487,273,299.97
  5. Step 5: Solve for x
    x = 77,487,273,299.97/127,525.96
  6. Step 6: Final answer
    x = 607,619.62

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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.