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Finding the Third Proportional to 152,002 and 228,085

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Solution

The third proportional to 152,002 and 228,085 is: 342,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,002 : 228,085 = 228,085 : x
  2. Step 2: Convert to fraction form
    152,002/228,085 = 228,085/x
  3. Step 3: Cross multiply
    152,002x = 228,085 × 228,085
  4. Step 4: Simplify right side
    152,002x = 52,022,767,225
  5. Step 5: Solve for x
    x = 52,022,767,225/152,002
  6. Step 6: Final answer
    x = 342,250.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.