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Finding the Third Proportional to 152,158 and 228,266

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Solution

The third proportional to 152,158 and 228,266 is: 342,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,158 : 228,266 = 228,266 : x
  2. Step 2: Convert to fraction form
    152,158/228,266 = 228,266/x
  3. Step 3: Cross multiply
    152,158x = 228,266 × 228,266
  4. Step 4: Simplify right side
    152,158x = 52,105,366,756
  5. Step 5: Solve for x
    x = 52,105,366,756/152,158
  6. Step 6: Final answer
    x = 342,442.51

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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.