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Finding the Third Proportional to 119,377 and 186,331

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Solution

The third proportional to 119,377 and 186,331 is: 290,836.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,377 : 186,331 = 186,331 : x
  2. Step 2: Convert to fraction form
    119,377/186,331 = 186,331/x
  3. Step 3: Cross multiply
    119,377x = 186,331 × 186,331
  4. Step 4: Simplify right side
    119,377x = 34,719,241,561
  5. Step 5: Solve for x
    x = 34,719,241,561/119,377
  6. Step 6: Final answer
    x = 290,836.94

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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.