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Finding the Third Proportional to 127,548 and 280,244.25

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Solution

The third proportional to 127,548 and 280,244.25 is: 615,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,548 : 280,244.25 = 280,244.25 : x
  2. Step 2: Convert to fraction form
    127,548/280,244.25 = 280,244.25/x
  3. Step 3: Cross multiply
    127,548x = 280,244.25 × 280,244.25
  4. Step 4: Simplify right side
    127,548x = 78,536,839,658.06
  5. Step 5: Solve for x
    x = 78,536,839,658.06/127,548
  6. Step 6: Final answer
    x = 615,743.40

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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.