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Finding the Third Proportional to 119,376 and 186,327

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Solution

The third proportional to 119,376 and 186,327 is: 290,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,376 : 186,327 = 186,327 : x
  2. Step 2: Convert to fraction form
    119,376/186,327 = 186,327/x
  3. Step 3: Cross multiply
    119,376x = 186,327 × 186,327
  4. Step 4: Simplify right side
    119,376x = 34,717,750,929
  5. Step 5: Solve for x
    x = 34,717,750,929/119,376
  6. Step 6: Final answer
    x = 290,826.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.