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Finding the Third Proportional to 127,304 and 280,032

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Solution

The third proportional to 127,304 and 280,032 is: 615,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,304 : 280,032 = 280,032 : x
  2. Step 2: Convert to fraction form
    127,304/280,032 = 280,032/x
  3. Step 3: Cross multiply
    127,304x = 280,032 × 280,032
  4. Step 4: Simplify right side
    127,304x = 78,417,921,024
  5. Step 5: Solve for x
    x = 78,417,921,024/127,304
  6. Step 6: Final answer
    x = 615,989.45

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Why These Related Problems?

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