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Finding the Third Proportional to 177,644 and 380,612

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Solution

The third proportional to 177,644 and 380,612 is: 815,482.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,644 : 380,612 = 380,612 : x
  2. Step 2: Convert to fraction form
    177,644/380,612 = 380,612/x
  3. Step 3: Cross multiply
    177,644x = 380,612 × 380,612
  4. Step 4: Simplify right side
    177,644x = 144,865,494,544
  5. Step 5: Solve for x
    x = 144,865,494,544/177,644
  6. Step 6: Final answer
    x = 815,482.06

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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.