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Finding the Third Proportional to 193,028 and 278,468

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Solution

The third proportional to 193,028 and 278,468 is: 401,726.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,028 : 278,468 = 278,468 : x
  2. Step 2: Convert to fraction form
    193,028/278,468 = 278,468/x
  3. Step 3: Cross multiply
    193,028x = 278,468 × 278,468
  4. Step 4: Simplify right side
    193,028x = 77,544,427,024
  5. Step 5: Solve for x
    x = 77,544,427,024/193,028
  6. Step 6: Final answer
    x = 401,726.31

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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.