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Finding the Third Proportional to 150,448 and 238,002

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Solution

The third proportional to 150,448 and 238,002 is: 376,508.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,448 : 238,002 = 238,002 : x
  2. Step 2: Convert to fraction form
    150,448/238,002 = 238,002/x
  3. Step 3: Cross multiply
    150,448x = 238,002 × 238,002
  4. Step 4: Simplify right side
    150,448x = 56,644,952,004
  5. Step 5: Solve for x
    x = 56,644,952,004/150,448
  6. Step 6: Final answer
    x = 376,508.51

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.