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Finding the Third Proportional to 150,471 and 233,742.75

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Solution

The third proportional to 150,471 and 233,742.75 is: 363,097.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,471 : 233,742.75 = 233,742.75 : x
  2. Step 2: Convert to fraction form
    150,471/233,742.75 = 233,742.75/x
  3. Step 3: Cross multiply
    150,471x = 233,742.75 × 233,742.75
  4. Step 4: Simplify right side
    150,471x = 54,635,673,177.56
  5. Step 5: Solve for x
    x = 54,635,673,177.56/150,471
  6. Step 6: Final answer
    x = 363,097.69

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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.