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Finding the Third Proportional to 237,649.50 and 355,272.75

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Solution

The third proportional to 237,649.50 and 355,272.75 is: 531,112.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,649.50 : 355,272.75 = 355,272.75 : x
  2. Step 2: Convert to fraction form
    237,649.50/355,272.75 = 355,272.75/x
  3. Step 3: Cross multiply
    237,649.50x = 355,272.75 × 355,272.75
  4. Step 4: Simplify right side
    237,649.50x = 126,218,726,892.56
  5. Step 5: Solve for x
    x = 126,218,726,892.56/237,649.50
  6. Step 6: Final answer
    x = 531,112.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.