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Finding the Third Proportional to 127,976 and 204,464

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Solution

The third proportional to 127,976 and 204,464 is: 326,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,976 : 204,464 = 204,464 : x
  2. Step 2: Convert to fraction form
    127,976/204,464 = 204,464/x
  3. Step 3: Cross multiply
    127,976x = 204,464 × 204,464
  4. Step 4: Simplify right side
    127,976x = 41,805,527,296
  5. Step 5: Solve for x
    x = 41,805,527,296/127,976
  6. Step 6: Final answer
    x = 326,666.93

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.