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Finding the Third Proportional to 193,024 and 278,463

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Solution

The third proportional to 193,024 and 278,463 is: 401,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,024 : 278,463 = 278,463 : x
  2. Step 2: Convert to fraction form
    193,024/278,463 = 278,463/x
  3. Step 3: Cross multiply
    193,024x = 278,463 × 278,463
  4. Step 4: Simplify right side
    193,024x = 77,541,642,369
  5. Step 5: Solve for x
    x = 77,541,642,369/193,024
  6. Step 6: Final answer
    x = 401,720.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.