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Finding the Third Proportional to 127,484 and 280,133

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Solution

The third proportional to 127,484 and 280,133 is: 615,563.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,484 : 280,133 = 280,133 : x
  2. Step 2: Convert to fraction form
    127,484/280,133 = 280,133/x
  3. Step 3: Cross multiply
    127,484x = 280,133 × 280,133
  4. Step 4: Simplify right side
    127,484x = 78,474,497,689
  5. Step 5: Solve for x
    x = 78,474,497,689/127,484
  6. Step 6: Final answer
    x = 615,563.50

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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.