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Finding the Third Proportional to 175,294 and 383,757

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Solution

The third proportional to 175,294 and 383,757 is: 840,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,294 : 383,757 = 383,757 : x
  2. Step 2: Convert to fraction form
    175,294/383,757 = 383,757/x
  3. Step 3: Cross multiply
    175,294x = 383,757 × 383,757
  4. Step 4: Simplify right side
    175,294x = 147,269,435,049
  5. Step 5: Solve for x
    x = 147,269,435,049/175,294
  6. Step 6: Final answer
    x = 840,128.21

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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.