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Finding the Third Proportional to 152,405.44 and 226,399.78

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Solution

The third proportional to 152,405.44 and 226,399.78 is: 336,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405.44 : 226,399.78 = 226,399.78 : x
  2. Step 2: Convert to fraction form
    152,405.44/226,399.78 = 226,399.78/x
  3. Step 3: Cross multiply
    152,405.44x = 226,399.78 × 226,399.78
  4. Step 4: Simplify right side
    152,405.44x = 51,256,860,950.05
  5. Step 5: Solve for x
    x = 51,256,860,950.05/152,405.44
  6. Step 6: Final answer
    x = 336,319.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.