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Finding the Third Proportional to 83,555.30 and 180,426.66

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Solution

The third proportional to 83,555.30 and 180,426.66 is: 389,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,555.30 : 180,426.66 = 180,426.66 : x
  2. Step 2: Convert to fraction form
    83,555.30/180,426.66 = 180,426.66/x
  3. Step 3: Cross multiply
    83,555.30x = 180,426.66 × 180,426.66
  4. Step 4: Simplify right side
    83,555.30x = 32,553,778,285.56
  5. Step 5: Solve for x
    x = 32,553,778,285.56/83,555.30
  6. Step 6: Final answer
    x = 389,607.60

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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.