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Finding the Third Proportional to 206,248 and 328,184

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Solution

The third proportional to 206,248 and 328,184 is: 522,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,248 : 328,184 = 328,184 : x
  2. Step 2: Convert to fraction form
    206,248/328,184 = 328,184/x
  3. Step 3: Cross multiply
    206,248x = 328,184 × 328,184
  4. Step 4: Simplify right side
    206,248x = 107,704,737,856
  5. Step 5: Solve for x
    x = 107,704,737,856/206,248
  6. Step 6: Final answer
    x = 522,209.85

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