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Finding the Third Proportional to 186,972 and 379,704

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Solution

The third proportional to 186,972 and 379,704 is: 771,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,972 : 379,704 = 379,704 : x
  2. Step 2: Convert to fraction form
    186,972/379,704 = 379,704/x
  3. Step 3: Cross multiply
    186,972x = 379,704 × 379,704
  4. Step 4: Simplify right side
    186,972x = 144,175,127,616
  5. Step 5: Solve for x
    x = 144,175,127,616/186,972
  6. Step 6: Final answer
    x = 771,105.45

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.