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Finding the Third Proportional to 148,978 and 212,816.75

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Solution

The third proportional to 148,978 and 212,816.75 is: 304,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,978 : 212,816.75 = 212,816.75 : x
  2. Step 2: Convert to fraction form
    148,978/212,816.75 = 212,816.75/x
  3. Step 3: Cross multiply
    148,978x = 212,816.75 × 212,816.75
  4. Step 4: Simplify right side
    148,978x = 45,290,969,080.56
  5. Step 5: Solve for x
    x = 45,290,969,080.56/148,978
  6. Step 6: Final answer
    x = 304,011.12

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.