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Finding the Third Proportional to 206,246.56 and 328,182.13

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Solution

The third proportional to 206,246.56 and 328,182.13 is: 522,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,246.56 : 328,182.13 = 328,182.13 : x
  2. Step 2: Convert to fraction form
    206,246.56/328,182.13 = 328,182.13/x
  3. Step 3: Cross multiply
    206,246.56x = 328,182.13 × 328,182.13
  4. Step 4: Simplify right side
    206,246.56x = 107,703,507,169.52
  5. Step 5: Solve for x
    x = 107,703,507,169.52/206,246.56
  6. Step 6: Final answer
    x = 522,207.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.