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Finding the Third Proportional to 186,675 and 287,094

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Solution

The third proportional to 186,675 and 287,094 is: 441,531.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,675 : 287,094 = 287,094 : x
  2. Step 2: Convert to fraction form
    186,675/287,094 = 287,094/x
  3. Step 3: Cross multiply
    186,675x = 287,094 × 287,094
  4. Step 4: Simplify right side
    186,675x = 82,422,964,836
  5. Step 5: Solve for x
    x = 82,422,964,836/186,675
  6. Step 6: Final answer
    x = 441,531.89

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Why These Related Problems?

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