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Finding the Third Proportional to 148,154 and 325,847

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Solution

The third proportional to 148,154 and 325,847 is: 716,661.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,154 : 325,847 = 325,847 : x
  2. Step 2: Convert to fraction form
    148,154/325,847 = 325,847/x
  3. Step 3: Cross multiply
    148,154x = 325,847 × 325,847
  4. Step 4: Simplify right side
    148,154x = 106,176,267,409
  5. Step 5: Solve for x
    x = 106,176,267,409/148,154
  6. Step 6: Final answer
    x = 716,661.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.