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Finding the Third Proportional to 193,552.50 and 284,634

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Solution

The third proportional to 193,552.50 and 284,634 is: 418,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,552.50 : 284,634 = 284,634 : x
  2. Step 2: Convert to fraction form
    193,552.50/284,634 = 284,634/x
  3. Step 3: Cross multiply
    193,552.50x = 284,634 × 284,634
  4. Step 4: Simplify right side
    193,552.50x = 81,016,513,956
  5. Step 5: Solve for x
    x = 81,016,513,956/193,552.50
  6. Step 6: Final answer
    x = 418,576.43

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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.