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Finding the Third Proportional to 85,657.50 and 202,479.75

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Solution

The third proportional to 85,657.50 and 202,479.75 is: 478,627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,657.50 : 202,479.75 = 202,479.75 : x
  2. Step 2: Convert to fraction form
    85,657.50/202,479.75 = 202,479.75/x
  3. Step 3: Cross multiply
    85,657.50x = 202,479.75 × 202,479.75
  4. Step 4: Simplify right side
    85,657.50x = 40,998,049,160.06
  5. Step 5: Solve for x
    x = 40,998,049,160.06/85,657.50
  6. Step 6: Final answer
    x = 478,627.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.