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Finding the Third Proportional to 134,462 and 188,470

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Solution

The third proportional to 134,462 and 188,470 is: 264,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,462 : 188,470 = 188,470 : x
  2. Step 2: Convert to fraction form
    134,462/188,470 = 188,470/x
  3. Step 3: Cross multiply
    134,462x = 188,470 × 188,470
  4. Step 4: Simplify right side
    134,462x = 35,520,940,900
  5. Step 5: Solve for x
    x = 35,520,940,900/134,462
  6. Step 6: Final answer
    x = 264,170.85

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.