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Finding the Third Proportional to 127,490 and 280,146

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Solution

The third proportional to 127,490 and 280,146 is: 615,591.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,490 : 280,146 = 280,146 : x
  2. Step 2: Convert to fraction form
    127,490/280,146 = 280,146/x
  3. Step 3: Cross multiply
    127,490x = 280,146 × 280,146
  4. Step 4: Simplify right side
    127,490x = 78,481,781,316
  5. Step 5: Solve for x
    x = 78,481,781,316/127,490
  6. Step 6: Final answer
    x = 615,591.66

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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.