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Finding the Third Proportional to 148,662 and 211,921

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Solution

The third proportional to 148,662 and 211,921 is: 302,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,662 : 211,921 = 211,921 : x
  2. Step 2: Convert to fraction form
    148,662/211,921 = 211,921/x
  3. Step 3: Cross multiply
    148,662x = 211,921 × 211,921
  4. Step 4: Simplify right side
    148,662x = 44,910,510,241
  5. Step 5: Solve for x
    x = 44,910,510,241/148,662
  6. Step 6: Final answer
    x = 302,098.12

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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.