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Finding the Third Proportional to 129,365 and 196,236

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Solution

The third proportional to 129,365 and 196,236 is: 297,673.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,365 : 196,236 = 196,236 : x
  2. Step 2: Convert to fraction form
    129,365/196,236 = 196,236/x
  3. Step 3: Cross multiply
    129,365x = 196,236 × 196,236
  4. Step 4: Simplify right side
    129,365x = 38,508,567,696
  5. Step 5: Solve for x
    x = 38,508,567,696/129,365
  6. Step 6: Final answer
    x = 297,673.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.