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Finding the Third Proportional to 187,193 and 254,019

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Solution

The third proportional to 187,193 and 254,019 is: 344,701.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,193 : 254,019 = 254,019 : x
  2. Step 2: Convert to fraction form
    187,193/254,019 = 254,019/x
  3. Step 3: Cross multiply
    187,193x = 254,019 × 254,019
  4. Step 4: Simplify right side
    187,193x = 64,525,652,361
  5. Step 5: Solve for x
    x = 64,525,652,361/187,193
  6. Step 6: Final answer
    x = 344,701.20

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.