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Finding the Third Proportional to 175,689 and 383,180.63

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Solution

The third proportional to 175,689 and 383,180.63 is: 835,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,689 : 383,180.63 = 383,180.63 : x
  2. Step 2: Convert to fraction form
    175,689/383,180.63 = 383,180.63/x
  3. Step 3: Cross multiply
    175,689x = 383,180.63 × 383,180.63
  4. Step 4: Simplify right side
    175,689x = 146,827,391,375.39
  5. Step 5: Solve for x
    x = 146,827,391,375.39/175,689
  6. Step 6: Final answer
    x = 835,723.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.