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Finding the Third Proportional to 176,967 and 383,452

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Solution

The third proportional to 176,967 and 383,452 is: 830,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,967 : 383,452 = 383,452 : x
  2. Step 2: Convert to fraction form
    176,967/383,452 = 383,452/x
  3. Step 3: Cross multiply
    176,967x = 383,452 × 383,452
  4. Step 4: Simplify right side
    176,967x = 147,035,436,304
  5. Step 5: Solve for x
    x = 147,035,436,304/176,967
  6. Step 6: Final answer
    x = 830,863.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.