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Finding the Third Proportional to 150,132 and 211,158

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Solution

The third proportional to 150,132 and 211,158 is: 296,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,132 : 211,158 = 211,158 : x
  2. Step 2: Convert to fraction form
    150,132/211,158 = 211,158/x
  3. Step 3: Cross multiply
    150,132x = 211,158 × 211,158
  4. Step 4: Simplify right side
    150,132x = 44,587,700,964
  5. Step 5: Solve for x
    x = 44,587,700,964/150,132
  6. Step 6: Final answer
    x = 296,989.99

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.