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Finding the Third Proportional to 146,816 and 321,408

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Solution

The third proportional to 146,816 and 321,408 is: 703,622.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,816 : 321,408 = 321,408 : x
  2. Step 2: Convert to fraction form
    146,816/321,408 = 321,408/x
  3. Step 3: Cross multiply
    146,816x = 321,408 × 321,408
  4. Step 4: Simplify right side
    146,816x = 103,303,102,464
  5. Step 5: Solve for x
    x = 103,303,102,464/146,816
  6. Step 6: Final answer
    x = 703,622.92

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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.