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Finding the Third Proportional to 175,291 and 383,934

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Solution

The third proportional to 175,291 and 383,934 is: 840,917.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,291 : 383,934 = 383,934 : x
  2. Step 2: Convert to fraction form
    175,291/383,934 = 383,934/x
  3. Step 3: Cross multiply
    175,291x = 383,934 × 383,934
  4. Step 4: Simplify right side
    175,291x = 147,405,316,356
  5. Step 5: Solve for x
    x = 147,405,316,356/175,291
  6. Step 6: Final answer
    x = 840,917.77

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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.