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Finding the Third Proportional to 127,350.56 and 276,814.13

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Solution

The third proportional to 127,350.56 and 276,814.13 is: 601,693.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,350.56 : 276,814.13 = 276,814.13 : x
  2. Step 2: Convert to fraction form
    127,350.56/276,814.13 = 276,814.13/x
  3. Step 3: Cross multiply
    127,350.56x = 276,814.13 × 276,814.13
  4. Step 4: Simplify right side
    127,350.56x = 76,626,059,799.52
  5. Step 5: Solve for x
    x = 76,626,059,799.52/127,350.56
  6. Step 6: Final answer
    x = 601,693.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.