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Finding the Third Proportional to 123,238.50 and 198,411

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Solution

The third proportional to 123,238.50 and 198,411 is: 319,436.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,238.50 : 198,411 = 198,411 : x
  2. Step 2: Convert to fraction form
    123,238.50/198,411 = 198,411/x
  3. Step 3: Cross multiply
    123,238.50x = 198,411 × 198,411
  4. Step 4: Simplify right side
    123,238.50x = 39,366,924,921
  5. Step 5: Solve for x
    x = 39,366,924,921/123,238.50
  6. Step 6: Final answer
    x = 319,436.90

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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.