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Finding the Third Proportional to 120,190 and 278,230

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Solution

The third proportional to 120,190 and 278,230 is: 644,079.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,190 : 278,230 = 278,230 : x
  2. Step 2: Convert to fraction form
    120,190/278,230 = 278,230/x
  3. Step 3: Cross multiply
    120,190x = 278,230 × 278,230
  4. Step 4: Simplify right side
    120,190x = 77,411,932,900
  5. Step 5: Solve for x
    x = 77,411,932,900/120,190
  6. Step 6: Final answer
    x = 644,079.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.