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Finding the Third Proportional to 177,408 and 382,952

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Solution

The third proportional to 177,408 and 382,952 is: 826,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,408 : 382,952 = 382,952 : x
  2. Step 2: Convert to fraction form
    177,408/382,952 = 382,952/x
  3. Step 3: Cross multiply
    177,408x = 382,952 × 382,952
  4. Step 4: Simplify right side
    177,408x = 146,652,234,304
  5. Step 5: Solve for x
    x = 146,652,234,304/177,408
  6. Step 6: Final answer
    x = 826,638.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.