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Finding the Third Proportional to 186,387.75 and 286,908.75

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Solution

The third proportional to 186,387.75 and 286,908.75 is: 441,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,387.75 : 286,908.75 = 286,908.75 : x
  2. Step 2: Convert to fraction form
    186,387.75/286,908.75 = 286,908.75/x
  3. Step 3: Cross multiply
    186,387.75x = 286,908.75 × 286,908.75
  4. Step 4: Simplify right side
    186,387.75x = 82,316,630,826.56
  5. Step 5: Solve for x
    x = 82,316,630,826.56/186,387.75
  6. Step 6: Final answer
    x = 441,641.85

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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.