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Finding the Third Proportional to 129,336 and 194,484

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Solution

The third proportional to 129,336 and 194,484 is: 292,447.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,336 : 194,484 = 194,484 : x
  2. Step 2: Convert to fraction form
    129,336/194,484 = 194,484/x
  3. Step 3: Cross multiply
    129,336x = 194,484 × 194,484
  4. Step 4: Simplify right side
    129,336x = 37,824,026,256
  5. Step 5: Solve for x
    x = 37,824,026,256/129,336
  6. Step 6: Final answer
    x = 292,447.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.