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Finding the Third Proportional to 148,562 and 324,338

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Solution

The third proportional to 148,562 and 324,338 is: 708,089.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,562 : 324,338 = 324,338 : x
  2. Step 2: Convert to fraction form
    148,562/324,338 = 324,338/x
  3. Step 3: Cross multiply
    148,562x = 324,338 × 324,338
  4. Step 4: Simplify right side
    148,562x = 105,195,138,244
  5. Step 5: Solve for x
    x = 105,195,138,244/148,562
  6. Step 6: Final answer
    x = 708,089.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.