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Finding the Third Proportional to 232,608 and 349,200

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Solution

The third proportional to 232,608 and 349,200 is: 524,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,608 : 349,200 = 349,200 : x
  2. Step 2: Convert to fraction form
    232,608/349,200 = 349,200/x
  3. Step 3: Cross multiply
    232,608x = 349,200 × 349,200
  4. Step 4: Simplify right side
    232,608x = 121,940,640,000
  5. Step 5: Solve for x
    x = 121,940,640,000/232,608
  6. Step 6: Final answer
    x = 524,232.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.