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Finding the Third Proportional to 185,947.50 and 402,795

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Solution

The third proportional to 185,947.50 and 402,795 is: 872,524.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,947.50 : 402,795 = 402,795 : x
  2. Step 2: Convert to fraction form
    185,947.50/402,795 = 402,795/x
  3. Step 3: Cross multiply
    185,947.50x = 402,795 × 402,795
  4. Step 4: Simplify right side
    185,947.50x = 162,243,812,025
  5. Step 5: Solve for x
    x = 162,243,812,025/185,947.50
  6. Step 6: Final answer
    x = 872,524.84

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.