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Finding the Third Proportional to 150,432.19 and 320,182.88

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Solution

The third proportional to 150,432.19 and 320,182.88 is: 681,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,432.19 : 320,182.88 = 320,182.88 : x
  2. Step 2: Convert to fraction form
    150,432.19/320,182.88 = 320,182.88/x
  3. Step 3: Cross multiply
    150,432.19x = 320,182.88 × 320,182.88
  4. Step 4: Simplify right side
    150,432.19x = 102,517,073,443.27
  5. Step 5: Solve for x
    x = 102,517,073,443.27/150,432.19
  6. Step 6: Final answer
    x = 681,483.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.