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Finding the Third Proportional to 121,829 and 194,408

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Solution

The third proportional to 121,829 and 194,408 is: 310,225.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,829 : 194,408 = 194,408 : x
  2. Step 2: Convert to fraction form
    121,829/194,408 = 194,408/x
  3. Step 3: Cross multiply
    121,829x = 194,408 × 194,408
  4. Step 4: Simplify right side
    121,829x = 37,794,470,464
  5. Step 5: Solve for x
    x = 37,794,470,464/121,829
  6. Step 6: Final answer
    x = 310,225.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.