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Finding the Third Proportional to 232,851.75 and 341,610.75

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Solution

The third proportional to 232,851.75 and 341,610.75 is: 501,168.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,851.75 : 341,610.75 = 341,610.75 : x
  2. Step 2: Convert to fraction form
    232,851.75/341,610.75 = 341,610.75/x
  3. Step 3: Cross multiply
    232,851.75x = 341,610.75 × 341,610.75
  4. Step 4: Simplify right side
    232,851.75x = 116,697,904,515.56
  5. Step 5: Solve for x
    x = 116,697,904,515.56/232,851.75
  6. Step 6: Final answer
    x = 501,168.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.