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Finding the Third Proportional to 148,107 and 211,647

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Solution

The third proportional to 148,107 and 211,647 is: 302,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,107 : 211,647 = 211,647 : x
  2. Step 2: Convert to fraction form
    148,107/211,647 = 211,647/x
  3. Step 3: Cross multiply
    148,107x = 211,647 × 211,647
  4. Step 4: Simplify right side
    148,107x = 44,794,452,609
  5. Step 5: Solve for x
    x = 44,794,452,609/148,107
  6. Step 6: Final answer
    x = 302,446.56

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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.