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Finding the Third Proportional to 231,388.25 and 349,548

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Solution

The third proportional to 231,388.25 and 349,548 is: 528,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,388.25 : 349,548 = 349,548 : x
  2. Step 2: Convert to fraction form
    231,388.25/349,548 = 349,548/x
  3. Step 3: Cross multiply
    231,388.25x = 349,548 × 349,548
  4. Step 4: Simplify right side
    231,388.25x = 122,183,804,304
  5. Step 5: Solve for x
    x = 122,183,804,304/231,388.25
  6. Step 6: Final answer
    x = 528,046.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.