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Finding the Third Proportional to 150,433.13 and 327,846

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Solution

The third proportional to 150,433.13 and 327,846 is: 714,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,433.13 : 327,846 = 327,846 : x
  2. Step 2: Convert to fraction form
    150,433.13/327,846 = 327,846/x
  3. Step 3: Cross multiply
    150,433.13x = 327,846 × 327,846
  4. Step 4: Simplify right side
    150,433.13x = 107,482,999,716
  5. Step 5: Solve for x
    x = 107,482,999,716/150,433.13
  6. Step 6: Final answer
    x = 714,490.24

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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.