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Finding the Third Proportional to 127,808 and 274,048

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Solution

The third proportional to 127,808 and 274,048 is: 587,618.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,808 : 274,048 = 274,048 : x
  2. Step 2: Convert to fraction form
    127,808/274,048 = 274,048/x
  3. Step 3: Cross multiply
    127,808x = 274,048 × 274,048
  4. Step 4: Simplify right side
    127,808x = 75,102,306,304
  5. Step 5: Solve for x
    x = 75,102,306,304/127,808
  6. Step 6: Final answer
    x = 587,618.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.