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Finding the Third Proportional to 83,257.59 and 182,360.25

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Solution

The third proportional to 83,257.59 and 182,360.25 is: 399,426.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,257.59 : 182,360.25 = 182,360.25 : x
  2. Step 2: Convert to fraction form
    83,257.59/182,360.25 = 182,360.25/x
  3. Step 3: Cross multiply
    83,257.59x = 182,360.25 × 182,360.25
  4. Step 4: Simplify right side
    83,257.59x = 33,255,260,780.06
  5. Step 5: Solve for x
    x = 33,255,260,780.06/83,257.59
  6. Step 6: Final answer
    x = 399,426.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.