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Finding the Third Proportional to 238,493.25 and 323,853.75

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Solution

The third proportional to 238,493.25 and 323,853.75 is: 439,766.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,493.25 : 323,853.75 = 323,853.75 : x
  2. Step 2: Convert to fraction form
    238,493.25/323,853.75 = 323,853.75/x
  3. Step 3: Cross multiply
    238,493.25x = 323,853.75 × 323,853.75
  4. Step 4: Simplify right side
    238,493.25x = 104,881,251,389.06
  5. Step 5: Solve for x
    x = 104,881,251,389.06/238,493.25
  6. Step 6: Final answer
    x = 439,766.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.