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Finding the Third Proportional to 186,754 and 400,138

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Solution

The third proportional to 186,754 and 400,138 is: 857,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,754 : 400,138 = 400,138 : x
  2. Step 2: Convert to fraction form
    186,754/400,138 = 400,138/x
  3. Step 3: Cross multiply
    186,754x = 400,138 × 400,138
  4. Step 4: Simplify right side
    186,754x = 160,110,419,044
  5. Step 5: Solve for x
    x = 160,110,419,044/186,754
  6. Step 6: Final answer
    x = 857,333.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.