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Finding the Third Proportional to 135,365.50 and 198,431

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Solution

The third proportional to 135,365.50 and 198,431 is: 290,878.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,365.50 : 198,431 = 198,431 : x
  2. Step 2: Convert to fraction form
    135,365.50/198,431 = 198,431/x
  3. Step 3: Cross multiply
    135,365.50x = 198,431 × 198,431
  4. Step 4: Simplify right side
    135,365.50x = 39,374,861,761
  5. Step 5: Solve for x
    x = 39,374,861,761/135,365.50
  6. Step 6: Final answer
    x = 290,878.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.