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Finding the Third Proportional to 186,670 and 287,087

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Solution

The third proportional to 186,670 and 287,087 is: 441,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,670 : 287,087 = 287,087 : x
  2. Step 2: Convert to fraction form
    186,670/287,087 = 287,087/x
  3. Step 3: Cross multiply
    186,670x = 287,087 × 287,087
  4. Step 4: Simplify right side
    186,670x = 82,418,945,569
  5. Step 5: Solve for x
    x = 82,418,945,569/186,670
  6. Step 6: Final answer
    x = 441,522.18

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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.