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Finding the Third Proportional to 189,793.50 and 278,979

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Solution

The third proportional to 189,793.50 and 278,979 is: 410,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,793.50 : 278,979 = 278,979 : x
  2. Step 2: Convert to fraction form
    189,793.50/278,979 = 278,979/x
  3. Step 3: Cross multiply
    189,793.50x = 278,979 × 278,979
  4. Step 4: Simplify right side
    189,793.50x = 77,829,282,441
  5. Step 5: Solve for x
    x = 77,829,282,441/189,793.50
  6. Step 6: Final answer
    x = 410,073.49

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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.