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Finding the Third Proportional to 220,834 and 344,371

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Solution

The third proportional to 220,834 and 344,371 is: 537,015.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,834 : 344,371 = 344,371 : x
  2. Step 2: Convert to fraction form
    220,834/344,371 = 344,371/x
  3. Step 3: Cross multiply
    220,834x = 344,371 × 344,371
  4. Step 4: Simplify right side
    220,834x = 118,591,385,641
  5. Step 5: Solve for x
    x = 118,591,385,641/220,834
  6. Step 6: Final answer
    x = 537,015.97

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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.