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Finding the Third Proportional to 232,183.13 and 474,206.06

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Solution

The third proportional to 232,183.13 and 474,206.06 is: 968,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,183.13 : 474,206.06 = 474,206.06 : x
  2. Step 2: Convert to fraction form
    232,183.13/474,206.06 = 474,206.06/x
  3. Step 3: Cross multiply
    232,183.13x = 474,206.06 × 474,206.06
  4. Step 4: Simplify right side
    232,183.13x = 224,871,389,711.75
  5. Step 5: Solve for x
    x = 224,871,389,711.75/232,183.13
  6. Step 6: Final answer
    x = 968,508.76

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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.