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Finding the Third Proportional to 154,791 and 335,343.50

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Solution

The third proportional to 154,791 and 335,343.50 is: 726,497.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,791 : 335,343.50 = 335,343.50 : x
  2. Step 2: Convert to fraction form
    154,791/335,343.50 = 335,343.50/x
  3. Step 3: Cross multiply
    154,791x = 335,343.50 × 335,343.50
  4. Step 4: Simplify right side
    154,791x = 112,455,262,992.25
  5. Step 5: Solve for x
    x = 112,455,262,992.25/154,791
  6. Step 6: Final answer
    x = 726,497.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.