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Finding the Third Proportional to 152,750 and 334,876

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Solution

The third proportional to 152,750 and 334,876 is: 734,153.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,750 : 334,876 = 334,876 : x
  2. Step 2: Convert to fraction form
    152,750/334,876 = 334,876/x
  3. Step 3: Cross multiply
    152,750x = 334,876 × 334,876
  4. Step 4: Simplify right side
    152,750x = 112,141,935,376
  5. Step 5: Solve for x
    x = 112,141,935,376/152,750
  6. Step 6: Final answer
    x = 734,153.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.