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Finding the Third Proportional to 239,820 and 346,469.25

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Solution

The third proportional to 239,820 and 346,469.25 is: 500,546.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,820 : 346,469.25 = 346,469.25 : x
  2. Step 2: Convert to fraction form
    239,820/346,469.25 = 346,469.25/x
  3. Step 3: Cross multiply
    239,820x = 346,469.25 × 346,469.25
  4. Step 4: Simplify right side
    239,820x = 120,040,941,195.56
  5. Step 5: Solve for x
    x = 120,040,941,195.56/239,820
  6. Step 6: Final answer
    x = 500,546.00

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.