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Finding the Third Proportional to 209,092 and 278,214

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Solution

The third proportional to 209,092 and 278,214 is: 370,186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,092 : 278,214 = 278,214 : x
  2. Step 2: Convert to fraction form
    209,092/278,214 = 278,214/x
  3. Step 3: Cross multiply
    209,092x = 278,214 × 278,214
  4. Step 4: Simplify right side
    209,092x = 77,403,029,796
  5. Step 5: Solve for x
    x = 77,403,029,796/209,092
  6. Step 6: Final answer
    x = 370,186.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.