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Finding the Third Proportional to 150,080 and 232,314

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Solution

The third proportional to 150,080 and 232,314 is: 359,606.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,080 : 232,314 = 232,314 : x
  2. Step 2: Convert to fraction form
    150,080/232,314 = 232,314/x
  3. Step 3: Cross multiply
    150,080x = 232,314 × 232,314
  4. Step 4: Simplify right side
    150,080x = 53,969,794,596
  5. Step 5: Solve for x
    x = 53,969,794,596/150,080
  6. Step 6: Final answer
    x = 359,606.84

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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.