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Finding the Third Proportional to 147,811 and 335,078

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Solution

The third proportional to 147,811 and 335,078 is: 759,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,811 : 335,078 = 335,078 : x
  2. Step 2: Convert to fraction form
    147,811/335,078 = 335,078/x
  3. Step 3: Cross multiply
    147,811x = 335,078 × 335,078
  4. Step 4: Simplify right side
    147,811x = 112,277,266,084
  5. Step 5: Solve for x
    x = 112,277,266,084/147,811
  6. Step 6: Final answer
    x = 759,600.21

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.