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Finding the Third Proportional to 206,248.50 and 328,185

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Solution

The third proportional to 206,248.50 and 328,185 is: 522,211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,248.50 : 328,185 = 328,185 : x
  2. Step 2: Convert to fraction form
    206,248.50/328,185 = 328,185/x
  3. Step 3: Cross multiply
    206,248.50x = 328,185 × 328,185
  4. Step 4: Simplify right side
    206,248.50x = 107,705,394,225
  5. Step 5: Solve for x
    x = 107,705,394,225/206,248.50
  6. Step 6: Final answer
    x = 522,211.77

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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.