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Finding the Third Proportional to 102,260.81 and 238,839

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Solution

The third proportional to 102,260.81 and 238,839 is: 557,829.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,260.81 : 238,839 = 238,839 : x
  2. Step 2: Convert to fraction form
    102,260.81/238,839 = 238,839/x
  3. Step 3: Cross multiply
    102,260.81x = 238,839 × 238,839
  4. Step 4: Simplify right side
    102,260.81x = 57,044,067,921
  5. Step 5: Solve for x
    x = 57,044,067,921/102,260.81
  6. Step 6: Final answer
    x = 557,829.21

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.