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Finding the Third Proportional to 175,295 and 383,759

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Solution

The third proportional to 175,295 and 383,759 is: 840,132.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,295 : 383,759 = 383,759 : x
  2. Step 2: Convert to fraction form
    175,295/383,759 = 383,759/x
  3. Step 3: Cross multiply
    175,295x = 383,759 × 383,759
  4. Step 4: Simplify right side
    175,295x = 147,270,970,081
  5. Step 5: Solve for x
    x = 147,270,970,081/175,295
  6. Step 6: Final answer
    x = 840,132.18

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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.