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Finding the Third Proportional to 150,306 and 232,074

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Solution

The third proportional to 150,306 and 232,074 is: 358,324.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,306 : 232,074 = 232,074 : x
  2. Step 2: Convert to fraction form
    150,306/232,074 = 232,074/x
  3. Step 3: Cross multiply
    150,306x = 232,074 × 232,074
  4. Step 4: Simplify right side
    150,306x = 53,858,341,476
  5. Step 5: Solve for x
    x = 53,858,341,476/150,306
  6. Step 6: Final answer
    x = 358,324.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.