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Finding the Third Proportional to 195,533 and 278,914

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Solution

The third proportional to 195,533 and 278,914 is: 397,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,533 : 278,914 = 278,914 : x
  2. Step 2: Convert to fraction form
    195,533/278,914 = 278,914/x
  3. Step 3: Cross multiply
    195,533x = 278,914 × 278,914
  4. Step 4: Simplify right side
    195,533x = 77,793,019,396
  5. Step 5: Solve for x
    x = 77,793,019,396/195,533
  6. Step 6: Final answer
    x = 397,851.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.