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Finding the Third Proportional to 94,840 and 192,408

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Solution

The third proportional to 94,840 and 192,408 is: 390,350.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,840 : 192,408 = 192,408 : x
  2. Step 2: Convert to fraction form
    94,840/192,408 = 192,408/x
  3. Step 3: Cross multiply
    94,840x = 192,408 × 192,408
  4. Step 4: Simplify right side
    94,840x = 37,020,838,464
  5. Step 5: Solve for x
    x = 37,020,838,464/94,840
  6. Step 6: Final answer
    x = 390,350.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.