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Finding the Third Proportional to 194,408 and 248,418

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Solution

The third proportional to 194,408 and 248,418 is: 317,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,408 : 248,418 = 248,418 : x
  2. Step 2: Convert to fraction form
    194,408/248,418 = 248,418/x
  3. Step 3: Cross multiply
    194,408x = 248,418 × 248,418
  4. Step 4: Simplify right side
    194,408x = 61,711,502,724
  5. Step 5: Solve for x
    x = 61,711,502,724/194,408
  6. Step 6: Final answer
    x = 317,432.94

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.