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Finding the Third Proportional to 237,049 and 360,181

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Solution

The third proportional to 237,049 and 360,181 is: 547,272.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,049 : 360,181 = 360,181 : x
  2. Step 2: Convert to fraction form
    237,049/360,181 = 360,181/x
  3. Step 3: Cross multiply
    237,049x = 360,181 × 360,181
  4. Step 4: Simplify right side
    237,049x = 129,730,352,761
  5. Step 5: Solve for x
    x = 129,730,352,761/237,049
  6. Step 6: Final answer
    x = 547,272.31

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.