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Finding the Third Proportional to 153,002 and 331,427

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Solution

The third proportional to 153,002 and 331,427 is: 717,924.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,002 : 331,427 = 331,427 : x
  2. Step 2: Convert to fraction form
    153,002/331,427 = 331,427/x
  3. Step 3: Cross multiply
    153,002x = 331,427 × 331,427
  4. Step 4: Simplify right side
    153,002x = 109,843,856,329
  5. Step 5: Solve for x
    x = 109,843,856,329/153,002
  6. Step 6: Final answer
    x = 717,924.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.