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Finding the Third Proportional to 220,852 and 344,398

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Solution

The third proportional to 220,852 and 344,398 is: 537,056.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,852 : 344,398 = 344,398 : x
  2. Step 2: Convert to fraction form
    220,852/344,398 = 344,398/x
  3. Step 3: Cross multiply
    220,852x = 344,398 × 344,398
  4. Step 4: Simplify right side
    220,852x = 118,609,982,404
  5. Step 5: Solve for x
    x = 118,609,982,404/220,852
  6. Step 6: Final answer
    x = 537,056.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.