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Finding the Third Proportional to 186,481.13 and 286,161.19

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Solution

The third proportional to 186,481.13 and 286,161.19 is: 439,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,481.13 : 286,161.19 = 286,161.19 : x
  2. Step 2: Convert to fraction form
    186,481.13/286,161.19 = 286,161.19/x
  3. Step 3: Cross multiply
    186,481.13x = 286,161.19 × 286,161.19
  4. Step 4: Simplify right side
    186,481.13x = 81,888,225,231.41
  5. Step 5: Solve for x
    x = 81,888,225,231.41/186,481.13
  6. Step 6: Final answer
    x = 439,123.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.