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Finding the Third Proportional to 233,338 and 349,934

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Solution

The third proportional to 233,338 and 349,934 is: 524,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,338 : 349,934 = 349,934 : x
  2. Step 2: Convert to fraction form
    233,338/349,934 = 349,934/x
  3. Step 3: Cross multiply
    233,338x = 349,934 × 349,934
  4. Step 4: Simplify right side
    233,338x = 122,453,804,356
  5. Step 5: Solve for x
    x = 122,453,804,356/233,338
  6. Step 6: Final answer
    x = 524,791.52

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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.