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Finding the Third Proportional to 175,071.38 and 384,432.75

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Solution

The third proportional to 175,071.38 and 384,432.75 is: 844,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,071.38 : 384,432.75 = 384,432.75 : x
  2. Step 2: Convert to fraction form
    175,071.38/384,432.75 = 384,432.75/x
  3. Step 3: Cross multiply
    175,071.38x = 384,432.75 × 384,432.75
  4. Step 4: Simplify right side
    175,071.38x = 147,788,539,272.56
  5. Step 5: Solve for x
    x = 147,788,539,272.56/175,071.38
  6. Step 6: Final answer
    x = 844,161.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.