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Finding the Third Proportional to 194,380 and 418,282

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Solution

The third proportional to 194,380 and 418,282 is: 900,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,380 : 418,282 = 418,282 : x
  2. Step 2: Convert to fraction form
    194,380/418,282 = 418,282/x
  3. Step 3: Cross multiply
    194,380x = 418,282 × 418,282
  4. Step 4: Simplify right side
    194,380x = 174,959,831,524
  5. Step 5: Solve for x
    x = 174,959,831,524/194,380
  6. Step 6: Final answer
    x = 900,091.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.