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Finding the Third Proportional to 186,470.56 and 286,785.19

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Solution

The third proportional to 186,470.56 and 286,785.19 is: 441,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,470.56 : 286,785.19 = 286,785.19 : x
  2. Step 2: Convert to fraction form
    186,470.56/286,785.19 = 286,785.19/x
  3. Step 3: Cross multiply
    186,470.56x = 286,785.19 × 286,785.19
  4. Step 4: Simplify right side
    186,470.56x = 82,245,743,769.41
  5. Step 5: Solve for x
    x = 82,245,743,769.41/186,470.56
  6. Step 6: Final answer
    x = 441,065.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.