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Finding the Third Proportional to 158,230.13 and 322,334.44

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Solution

The third proportional to 158,230.13 and 322,334.44 is: 656,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,230.13 : 322,334.44 = 322,334.44 : x
  2. Step 2: Convert to fraction form
    158,230.13/322,334.44 = 322,334.44/x
  3. Step 3: Cross multiply
    158,230.13x = 322,334.44 × 322,334.44
  4. Step 4: Simplify right side
    158,230.13x = 103,899,489,598.44
  5. Step 5: Solve for x
    x = 103,899,489,598.44/158,230.13
  6. Step 6: Final answer
    x = 656,635.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.