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Finding the Third Proportional to 177,590 and 380,452

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Solution

The third proportional to 177,590 and 380,452 is: 815,044.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,590 : 380,452 = 380,452 : x
  2. Step 2: Convert to fraction form
    177,590/380,452 = 380,452/x
  3. Step 3: Cross multiply
    177,590x = 380,452 × 380,452
  4. Step 4: Simplify right side
    177,590x = 144,743,724,304
  5. Step 5: Solve for x
    x = 144,743,724,304/177,590
  6. Step 6: Final answer
    x = 815,044.34

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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.