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Finding the Third Proportional to 127,924 and 204,366

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Solution

The third proportional to 127,924 and 204,366 is: 326,486.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,924 : 204,366 = 204,366 : x
  2. Step 2: Convert to fraction form
    127,924/204,366 = 204,366/x
  3. Step 3: Cross multiply
    127,924x = 204,366 × 204,366
  4. Step 4: Simplify right side
    127,924x = 41,765,461,956
  5. Step 5: Solve for x
    x = 41,765,461,956/127,924
  6. Step 6: Final answer
    x = 326,486.52

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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.