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Finding the Third Proportional to 238,338 and 349,882

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Solution

The third proportional to 238,338 and 349,882 is: 513,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,338 : 349,882 = 349,882 : x
  2. Step 2: Convert to fraction form
    238,338/349,882 = 349,882/x
  3. Step 3: Cross multiply
    238,338x = 349,882 × 349,882
  4. Step 4: Simplify right side
    238,338x = 122,417,413,924
  5. Step 5: Solve for x
    x = 122,417,413,924/238,338
  6. Step 6: Final answer
    x = 513,629.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.