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Finding the Third Proportional to 228,252 and 351,282

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Solution

The third proportional to 228,252 and 351,282 is: 540,626.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,252 : 351,282 = 351,282 : x
  2. Step 2: Convert to fraction form
    228,252/351,282 = 351,282/x
  3. Step 3: Cross multiply
    228,252x = 351,282 × 351,282
  4. Step 4: Simplify right side
    228,252x = 123,399,043,524
  5. Step 5: Solve for x
    x = 123,399,043,524/228,252
  6. Step 6: Final answer
    x = 540,626.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.