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Finding the Third Proportional to 193,014 and 278,448

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Solution

The third proportional to 193,014 and 278,448 is: 401,697.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,014 : 278,448 = 278,448 : x
  2. Step 2: Convert to fraction form
    193,014/278,448 = 278,448/x
  3. Step 3: Cross multiply
    193,014x = 278,448 × 278,448
  4. Step 4: Simplify right side
    193,014x = 77,533,288,704
  5. Step 5: Solve for x
    x = 77,533,288,704/193,014
  6. Step 6: Final answer
    x = 401,697.75

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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.