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Finding the Third Proportional to 127,322 and 280,060

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Solution

The third proportional to 127,322 and 280,060 is: 616,025.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,322 : 280,060 = 280,060 : x
  2. Step 2: Convert to fraction form
    127,322/280,060 = 280,060/x
  3. Step 3: Cross multiply
    127,322x = 280,060 × 280,060
  4. Step 4: Simplify right side
    127,322x = 78,433,603,600
  5. Step 5: Solve for x
    x = 78,433,603,600/127,322
  6. Step 6: Final answer
    x = 616,025.54

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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.