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Finding the Third Proportional to 186,874.50 and 409,950

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Solution

The third proportional to 186,874.50 and 409,950 is: 899,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,874.50 : 409,950 = 409,950 : x
  2. Step 2: Convert to fraction form
    186,874.50/409,950 = 409,950/x
  3. Step 3: Cross multiply
    186,874.50x = 409,950 × 409,950
  4. Step 4: Simplify right side
    186,874.50x = 168,059,002,500
  5. Step 5: Solve for x
    x = 168,059,002,500/186,874.50
  6. Step 6: Final answer
    x = 899,314.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.