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Finding the Third Proportional to 186,988 and 411,372

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Solution

The third proportional to 186,988 and 411,372 is: 905,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,988 : 411,372 = 411,372 : x
  2. Step 2: Convert to fraction form
    186,988/411,372 = 411,372/x
  3. Step 3: Cross multiply
    186,988x = 411,372 × 411,372
  4. Step 4: Simplify right side
    186,988x = 169,226,922,384
  5. Step 5: Solve for x
    x = 169,226,922,384/186,988
  6. Step 6: Final answer
    x = 905,014.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.