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Finding the Third Proportional to 146,622.97 and 321,271.15

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Solution

The third proportional to 146,622.97 and 321,271.15 is: 703,949.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,622.97 : 321,271.15 = 321,271.15 : x
  2. Step 2: Convert to fraction form
    146,622.97/321,271.15 = 321,271.15/x
  3. Step 3: Cross multiply
    146,622.97x = 321,271.15 × 321,271.15
  4. Step 4: Simplify right side
    146,622.97x = 103,215,154,583.25
  5. Step 5: Solve for x
    x = 103,215,154,583.25/146,622.97
  6. Step 6: Final answer
    x = 703,949.41

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