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Finding the Third Proportional to 193,578 and 284,654

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Solution

The third proportional to 193,578 and 284,654 is: 418,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,578 : 284,654 = 284,654 : x
  2. Step 2: Convert to fraction form
    193,578/284,654 = 284,654/x
  3. Step 3: Cross multiply
    193,578x = 284,654 × 284,654
  4. Step 4: Simplify right side
    193,578x = 81,027,899,716
  5. Step 5: Solve for x
    x = 81,027,899,716/193,578
  6. Step 6: Final answer
    x = 418,580.11

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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.