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Finding the Third Proportional to 148,324 and 222,774

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Solution

The third proportional to 148,324 and 222,774 is: 334,593.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,324 : 222,774 = 222,774 : x
  2. Step 2: Convert to fraction form
    148,324/222,774 = 222,774/x
  3. Step 3: Cross multiply
    148,324x = 222,774 × 222,774
  4. Step 4: Simplify right side
    148,324x = 49,628,255,076
  5. Step 5: Solve for x
    x = 49,628,255,076/148,324
  6. Step 6: Final answer
    x = 334,593.56

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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.