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Finding the Third Proportional to 186,966 and 290,051

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Solution

The third proportional to 186,966 and 290,051 is: 449,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,966 : 290,051 = 290,051 : x
  2. Step 2: Convert to fraction form
    186,966/290,051 = 290,051/x
  3. Step 3: Cross multiply
    186,966x = 290,051 × 290,051
  4. Step 4: Simplify right side
    186,966x = 84,129,582,601
  5. Step 5: Solve for x
    x = 84,129,582,601/186,966
  6. Step 6: Final answer
    x = 449,972.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.