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Finding the Third Proportional to 154,401.19 and 222,987.94

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Solution

The third proportional to 154,401.19 and 222,987.94 is: 322,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,401.19 : 222,987.94 = 222,987.94 : x
  2. Step 2: Convert to fraction form
    154,401.19/222,987.94 = 222,987.94/x
  3. Step 3: Cross multiply
    154,401.19x = 222,987.94 × 222,987.94
  4. Step 4: Simplify right side
    154,401.19x = 49,723,620,270.50
  5. Step 5: Solve for x
    x = 49,723,620,270.50/154,401.19
  6. Step 6: Final answer
    x = 322,041.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.