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Finding the Third Proportional to 220,328 and 297,274

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Solution

The third proportional to 220,328 and 297,274 is: 401,092.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,328 : 297,274 = 297,274 : x
  2. Step 2: Convert to fraction form
    220,328/297,274 = 297,274/x
  3. Step 3: Cross multiply
    220,328x = 297,274 × 297,274
  4. Step 4: Simplify right side
    220,328x = 88,371,831,076
  5. Step 5: Solve for x
    x = 88,371,831,076/220,328
  6. Step 6: Final answer
    x = 401,092.15

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.