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Finding the Third Proportional to 237,100 and 360,524

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Solution

The third proportional to 237,100 and 360,524 is: 548,197.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,100 : 360,524 = 360,524 : x
  2. Step 2: Convert to fraction form
    237,100/360,524 = 360,524/x
  3. Step 3: Cross multiply
    237,100x = 360,524 × 360,524
  4. Step 4: Simplify right side
    237,100x = 129,977,554,576
  5. Step 5: Solve for x
    x = 129,977,554,576/237,100
  6. Step 6: Final answer
    x = 548,197.19

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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.