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Finding the Third Proportional to 150,256 and 232,539

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Solution

The third proportional to 150,256 and 232,539 is: 359,881.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,256 : 232,539 = 232,539 : x
  2. Step 2: Convert to fraction form
    150,256/232,539 = 232,539/x
  3. Step 3: Cross multiply
    150,256x = 232,539 × 232,539
  4. Step 4: Simplify right side
    150,256x = 54,074,386,521
  5. Step 5: Solve for x
    x = 54,074,386,521/150,256
  6. Step 6: Final answer
    x = 359,881.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.