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Finding the Third Proportional to 129,363 and 196,233

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Solution

The third proportional to 129,363 and 196,233 is: 297,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,363 : 196,233 = 196,233 : x
  2. Step 2: Convert to fraction form
    129,363/196,233 = 196,233/x
  3. Step 3: Cross multiply
    129,363x = 196,233 × 196,233
  4. Step 4: Simplify right side
    129,363x = 38,507,390,289
  5. Step 5: Solve for x
    x = 38,507,390,289/129,363
  6. Step 6: Final answer
    x = 297,669.27

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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.