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Finding the Third Proportional to 232,408.13 and 359,121.64

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Solution

The third proportional to 232,408.13 and 359,121.64 is: 554,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,408.13 : 359,121.64 = 359,121.64 : x
  2. Step 2: Convert to fraction form
    232,408.13/359,121.64 = 359,121.64/x
  3. Step 3: Cross multiply
    232,408.13x = 359,121.64 × 359,121.64
  4. Step 4: Simplify right side
    232,408.13x = 128,968,355,899.62
  5. Step 5: Solve for x
    x = 128,968,355,899.62/232,408.13
  6. Step 6: Final answer
    x = 554,921.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.