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Finding the Third Proportional to 206,272.83 and 328,203.77

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Solution

The third proportional to 206,272.83 and 328,203.77 is: 522,209.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,272.83 : 328,203.77 = 328,203.77 : x
  2. Step 2: Convert to fraction form
    206,272.83/328,203.77 = 328,203.77/x
  3. Step 3: Cross multiply
    206,272.83x = 328,203.77 × 328,203.77
  4. Step 4: Simplify right side
    206,272.83x = 107,717,716,898.61
  5. Step 5: Solve for x
    x = 107,717,716,898.61/206,272.83
  6. Step 6: Final answer
    x = 522,209.92

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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.