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Finding the Third Proportional to 149,265 and 223,350

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Solution

The third proportional to 149,265 and 223,350 is: 334,205.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,265 : 223,350 = 223,350 : x
  2. Step 2: Convert to fraction form
    149,265/223,350 = 223,350/x
  3. Step 3: Cross multiply
    149,265x = 223,350 × 223,350
  4. Step 4: Simplify right side
    149,265x = 49,885,222,500
  5. Step 5: Solve for x
    x = 49,885,222,500/149,265
  6. Step 6: Final answer
    x = 334,205.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.