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Finding the Third Proportional to 148,248 and 221,965

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Solution

The third proportional to 148,248 and 221,965 is: 332,338.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,248 : 221,965 = 221,965 : x
  2. Step 2: Convert to fraction form
    148,248/221,965 = 221,965/x
  3. Step 3: Cross multiply
    148,248x = 221,965 × 221,965
  4. Step 4: Simplify right side
    148,248x = 49,268,461,225
  5. Step 5: Solve for x
    x = 49,268,461,225/148,248
  6. Step 6: Final answer
    x = 332,338.12

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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.