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Finding the Third Proportional to 181,452 and 237,186

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Solution

The third proportional to 181,452 and 237,186 is: 310,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,452 : 237,186 = 237,186 : x
  2. Step 2: Convert to fraction form
    181,452/237,186 = 237,186/x
  3. Step 3: Cross multiply
    181,452x = 237,186 × 237,186
  4. Step 4: Simplify right side
    181,452x = 56,257,198,596
  5. Step 5: Solve for x
    x = 56,257,198,596/181,452
  6. Step 6: Final answer
    x = 310,039.01

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.