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Finding the Third Proportional to 258,903.25 and 349,794.38

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Solution

The third proportional to 258,903.25 and 349,794.38 is: 472,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,903.25 : 349,794.38 = 349,794.38 : x
  2. Step 2: Convert to fraction form
    258,903.25/349,794.38 = 349,794.38/x
  3. Step 3: Cross multiply
    258,903.25x = 349,794.38 × 349,794.38
  4. Step 4: Simplify right side
    258,903.25x = 122,356,104,781.64
  5. Step 5: Solve for x
    x = 122,356,104,781.64/258,903.25
  6. Step 6: Final answer
    x = 472,593.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.