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Finding the Third Proportional to 148,976.50 and 212,814.75

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Solution

The third proportional to 148,976.50 and 212,814.75 is: 304,008.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,976.50 : 212,814.75 = 212,814.75 : x
  2. Step 2: Convert to fraction form
    148,976.50/212,814.75 = 212,814.75/x
  3. Step 3: Cross multiply
    148,976.50x = 212,814.75 × 212,814.75
  4. Step 4: Simplify right side
    148,976.50x = 45,290,117,817.56
  5. Step 5: Solve for x
    x = 45,290,117,817.56/148,976.50
  6. Step 6: Final answer
    x = 304,008.47

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Why These Related Problems?

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