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Finding the Third Proportional to 234,336.38 and 349,971.38

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Solution

The third proportional to 234,336.38 and 349,971.38 is: 522,667.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,336.38 : 349,971.38 = 349,971.38 : x
  2. Step 2: Convert to fraction form
    234,336.38/349,971.38 = 349,971.38/x
  3. Step 3: Cross multiply
    234,336.38x = 349,971.38 × 349,971.38
  4. Step 4: Simplify right side
    234,336.38x = 122,479,963,319.39
  5. Step 5: Solve for x
    x = 122,479,963,319.39/234,336.38
  6. Step 6: Final answer
    x = 522,667.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.