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Finding the Third Proportional to 254,249 and 345,302

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Solution

The third proportional to 254,249 and 345,302 is: 468,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,249 : 345,302 = 345,302 : x
  2. Step 2: Convert to fraction form
    254,249/345,302 = 345,302/x
  3. Step 3: Cross multiply
    254,249x = 345,302 × 345,302
  4. Step 4: Simplify right side
    254,249x = 119,233,471,204
  5. Step 5: Solve for x
    x = 119,233,471,204/254,249
  6. Step 6: Final answer
    x = 468,963.38

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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.