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Finding the Third Proportional to 83,594.53 and 180,513.56

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Solution

The third proportional to 83,594.53 and 180,513.56 is: 389,799.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,594.53 : 180,513.56 = 180,513.56 : x
  2. Step 2: Convert to fraction form
    83,594.53/180,513.56 = 180,513.56/x
  3. Step 3: Cross multiply
    83,594.53x = 180,513.56 × 180,513.56
  4. Step 4: Simplify right side
    83,594.53x = 32,585,146,246.44
  5. Step 5: Solve for x
    x = 32,585,146,246.44/83,594.53
  6. Step 6: Final answer
    x = 389,799.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.