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Finding the Third Proportional to 175,962.38 and 383,352.75

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Solution

The third proportional to 175,962.38 and 383,352.75 is: 835,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,962.38 : 383,352.75 = 383,352.75 : x
  2. Step 2: Convert to fraction form
    175,962.38/383,352.75 = 383,352.75/x
  3. Step 3: Cross multiply
    175,962.38x = 383,352.75 × 383,352.75
  4. Step 4: Simplify right side
    175,962.38x = 146,959,330,932.56
  5. Step 5: Solve for x
    x = 146,959,330,932.56/175,962.38
  6. Step 6: Final answer
    x = 835,174.74

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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.