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Finding the Third Proportional to 150,685 and 233,471

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Solution

The third proportional to 150,685 and 233,471 is: 361,739.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,685 : 233,471 = 233,471 : x
  2. Step 2: Convert to fraction form
    150,685/233,471 = 233,471/x
  3. Step 3: Cross multiply
    150,685x = 233,471 × 233,471
  4. Step 4: Simplify right side
    150,685x = 54,508,707,841
  5. Step 5: Solve for x
    x = 54,508,707,841/150,685
  6. Step 6: Final answer
    x = 361,739.44

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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.