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Finding the Third Proportional to 195,380 and 418,408

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Solution

The third proportional to 195,380 and 418,408 is: 896,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,380 : 418,408 = 418,408 : x
  2. Step 2: Convert to fraction form
    195,380/418,408 = 418,408/x
  3. Step 3: Cross multiply
    195,380x = 418,408 × 418,408
  4. Step 4: Simplify right side
    195,380x = 175,065,254,464
  5. Step 5: Solve for x
    x = 175,065,254,464/195,380
  6. Step 6: Final answer
    x = 896,024.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.