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Finding the Third Proportional to 149,908.50 and 222,579

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Solution

The third proportional to 149,908.50 and 222,579 is: 330,477.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,908.50 : 222,579 = 222,579 : x
  2. Step 2: Convert to fraction form
    149,908.50/222,579 = 222,579/x
  3. Step 3: Cross multiply
    149,908.50x = 222,579 × 222,579
  4. Step 4: Simplify right side
    149,908.50x = 49,541,411,241
  5. Step 5: Solve for x
    x = 49,541,411,241/149,908.50
  6. Step 6: Final answer
    x = 330,477.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.