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Finding the Third Proportional to 193,531.50 and 284,604

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Solution

The third proportional to 193,531.50 and 284,604 is: 418,533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,531.50 : 284,604 = 284,604 : x
  2. Step 2: Convert to fraction form
    193,531.50/284,604 = 284,604/x
  3. Step 3: Cross multiply
    193,531.50x = 284,604 × 284,604
  4. Step 4: Simplify right side
    193,531.50x = 80,999,436,816
  5. Step 5: Solve for x
    x = 80,999,436,816/193,531.50
  6. Step 6: Final answer
    x = 418,533.61

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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.