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Finding the Third Proportional to 150,731 and 233,288

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Solution

The third proportional to 150,731 and 233,288 is: 361,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,731 : 233,288 = 233,288 : x
  2. Step 2: Convert to fraction form
    150,731/233,288 = 233,288/x
  3. Step 3: Cross multiply
    150,731x = 233,288 × 233,288
  4. Step 4: Simplify right side
    150,731x = 54,423,290,944
  5. Step 5: Solve for x
    x = 54,423,290,944/150,731
  6. Step 6: Final answer
    x = 361,062.36

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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.