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Finding the Third Proportional to 127,342 and 280,112

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Solution

The third proportional to 127,342 and 280,112 is: 616,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,342 : 280,112 = 280,112 : x
  2. Step 2: Convert to fraction form
    127,342/280,112 = 280,112/x
  3. Step 3: Cross multiply
    127,342x = 280,112 × 280,112
  4. Step 4: Simplify right side
    127,342x = 78,462,732,544
  5. Step 5: Solve for x
    x = 78,462,732,544/127,342
  6. Step 6: Final answer
    x = 616,157.53

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.