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Finding the Third Proportional to 148,235 and 324,150

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Solution

The third proportional to 148,235 and 324,150 is: 708,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,235 : 324,150 = 324,150 : x
  2. Step 2: Convert to fraction form
    148,235/324,150 = 324,150/x
  3. Step 3: Cross multiply
    148,235x = 324,150 × 324,150
  4. Step 4: Simplify right side
    148,235x = 105,073,222,500
  5. Step 5: Solve for x
    x = 105,073,222,500/148,235
  6. Step 6: Final answer
    x = 708,828.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.