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Finding the Third Proportional to 186,894 and 289,872

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Solution

The third proportional to 186,894 and 289,872 is: 449,590.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,894 : 289,872 = 289,872 : x
  2. Step 2: Convert to fraction form
    186,894/289,872 = 289,872/x
  3. Step 3: Cross multiply
    186,894x = 289,872 × 289,872
  4. Step 4: Simplify right side
    186,894x = 84,025,776,384
  5. Step 5: Solve for x
    x = 84,025,776,384/186,894
  6. Step 6: Final answer
    x = 449,590.55

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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.