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Finding the Third Proportional to 149,450 and 228,548

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Solution

The third proportional to 149,450 and 228,548 is: 349,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,450 : 228,548 = 228,548 : x
  2. Step 2: Convert to fraction form
    149,450/228,548 = 228,548/x
  3. Step 3: Cross multiply
    149,450x = 228,548 × 228,548
  4. Step 4: Simplify right side
    149,450x = 52,234,188,304
  5. Step 5: Solve for x
    x = 52,234,188,304/149,450
  6. Step 6: Final answer
    x = 349,509.46

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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.