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Finding the Third Proportional to 148,691 and 211,964

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Solution

The third proportional to 148,691 and 211,964 is: 302,161.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,691 : 211,964 = 211,964 : x
  2. Step 2: Convert to fraction form
    148,691/211,964 = 211,964/x
  3. Step 3: Cross multiply
    148,691x = 211,964 × 211,964
  4. Step 4: Simplify right side
    148,691x = 44,928,737,296
  5. Step 5: Solve for x
    x = 44,928,737,296/148,691
  6. Step 6: Final answer
    x = 302,161.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.