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Finding the Third Proportional to 186,354.18 and 409,318.19

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Solution

The third proportional to 186,354.18 and 409,318.19 is: 899,048.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,354.18 : 409,318.19 = 409,318.19 : x
  2. Step 2: Convert to fraction form
    186,354.18/409,318.19 = 409,318.19/x
  3. Step 3: Cross multiply
    186,354.18x = 409,318.19 × 409,318.19
  4. Step 4: Simplify right side
    186,354.18x = 167,541,383,814.72
  5. Step 5: Solve for x
    x = 167,541,383,814.72/186,354.18
  6. Step 6: Final answer
    x = 899,048.14

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.