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Finding the Third Proportional to 186,954 and 290,034

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Solution

The third proportional to 186,954 and 290,034 is: 449,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,954 : 290,034 = 290,034 : x
  2. Step 2: Convert to fraction form
    186,954/290,034 = 290,034/x
  3. Step 3: Cross multiply
    186,954x = 290,034 × 290,034
  4. Step 4: Simplify right side
    186,954x = 84,119,721,156
  5. Step 5: Solve for x
    x = 84,119,721,156/186,954
  6. Step 6: Final answer
    x = 449,948.76

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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.