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Finding the Third Proportional to 146,326.50 and 213,900.75

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Solution

The third proportional to 146,326.50 and 213,900.75 is: 312,681.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,326.50 : 213,900.75 = 213,900.75 : x
  2. Step 2: Convert to fraction form
    146,326.50/213,900.75 = 213,900.75/x
  3. Step 3: Cross multiply
    146,326.50x = 213,900.75 × 213,900.75
  4. Step 4: Simplify right side
    146,326.50x = 45,753,530,850.56
  5. Step 5: Solve for x
    x = 45,753,530,850.56/146,326.50
  6. Step 6: Final answer
    x = 312,681.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.