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Finding the Third Proportional to 186,682 and 401,053

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Solution

The third proportional to 186,682 and 401,053 is: 861,590.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,682 : 401,053 = 401,053 : x
  2. Step 2: Convert to fraction form
    186,682/401,053 = 401,053/x
  3. Step 3: Cross multiply
    186,682x = 401,053 × 401,053
  4. Step 4: Simplify right side
    186,682x = 160,843,508,809
  5. Step 5: Solve for x
    x = 160,843,508,809/186,682
  6. Step 6: Final answer
    x = 861,590.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.