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Finding the Third Proportional to 146,084.77 and 218,546.23

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Solution

The third proportional to 146,084.77 and 218,546.23 is: 326,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,084.77 : 218,546.23 = 218,546.23 : x
  2. Step 2: Convert to fraction form
    146,084.77/218,546.23 = 218,546.23/x
  3. Step 3: Cross multiply
    146,084.77x = 218,546.23 × 218,546.23
  4. Step 4: Simplify right side
    146,084.77x = 47,762,453,144.71
  5. Step 5: Solve for x
    x = 47,762,453,144.71/146,084.77
  6. Step 6: Final answer
    x = 326,950.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.