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Finding the Third Proportional to 188,076 and 391,704

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Solution

The third proportional to 188,076 and 391,704 is: 815,797.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,076 : 391,704 = 391,704 : x
  2. Step 2: Convert to fraction form
    188,076/391,704 = 391,704/x
  3. Step 3: Cross multiply
    188,076x = 391,704 × 391,704
  4. Step 4: Simplify right side
    188,076x = 153,432,023,616
  5. Step 5: Solve for x
    x = 153,432,023,616/188,076
  6. Step 6: Final answer
    x = 815,797.99

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.