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Finding the Third Proportional to 175,304 and 383,779

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Solution

The third proportional to 175,304 and 383,779 is: 840,176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,304 : 383,779 = 383,779 : x
  2. Step 2: Convert to fraction form
    175,304/383,779 = 383,779/x
  3. Step 3: Cross multiply
    175,304x = 383,779 × 383,779
  4. Step 4: Simplify right side
    175,304x = 147,286,320,841
  5. Step 5: Solve for x
    x = 147,286,320,841/175,304
  6. Step 6: Final answer
    x = 840,176.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.