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Finding the Third Proportional to 150,068 and 228,914

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Solution

The third proportional to 150,068 and 228,914 is: 349,185.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,068 : 228,914 = 228,914 : x
  2. Step 2: Convert to fraction form
    150,068/228,914 = 228,914/x
  3. Step 3: Cross multiply
    150,068x = 228,914 × 228,914
  4. Step 4: Simplify right side
    150,068x = 52,401,619,396
  5. Step 5: Solve for x
    x = 52,401,619,396/150,068
  6. Step 6: Final answer
    x = 349,185.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.