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Finding the Third Proportional to 131,818.50 and 204,282

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Solution

The third proportional to 131,818.50 and 204,282 is: 316,580.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,818.50 : 204,282 = 204,282 : x
  2. Step 2: Convert to fraction form
    131,818.50/204,282 = 204,282/x
  3. Step 3: Cross multiply
    131,818.50x = 204,282 × 204,282
  4. Step 4: Simplify right side
    131,818.50x = 41,731,135,524
  5. Step 5: Solve for x
    x = 41,731,135,524/131,818.50
  6. Step 6: Final answer
    x = 316,580.26

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.