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Finding the Third Proportional to 127,354.78 and 274,240.69

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Solution

The third proportional to 127,354.78 and 274,240.69 is: 590,538.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,354.78 : 274,240.69 = 274,240.69 : x
  2. Step 2: Convert to fraction form
    127,354.78/274,240.69 = 274,240.69/x
  3. Step 3: Cross multiply
    127,354.78x = 274,240.69 × 274,240.69
  4. Step 4: Simplify right side
    127,354.78x = 75,207,954,680.47
  5. Step 5: Solve for x
    x = 75,207,954,680.47/127,354.78
  6. Step 6: Final answer
    x = 590,538.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.