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Finding the Third Proportional to 123,156 and 198,334

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Solution

The third proportional to 123,156 and 198,334 is: 319,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,156 : 198,334 = 198,334 : x
  2. Step 2: Convert to fraction form
    123,156/198,334 = 198,334/x
  3. Step 3: Cross multiply
    123,156x = 198,334 × 198,334
  4. Step 4: Simplify right side
    123,156x = 39,336,375,556
  5. Step 5: Solve for x
    x = 39,336,375,556/123,156
  6. Step 6: Final answer
    x = 319,402.84

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.