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Finding the Third Proportional to 238,544 and 356,592

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Solution

The third proportional to 238,544 and 356,592 is: 533,058.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,544 : 356,592 = 356,592 : x
  2. Step 2: Convert to fraction form
    238,544/356,592 = 356,592/x
  3. Step 3: Cross multiply
    238,544x = 356,592 × 356,592
  4. Step 4: Simplify right side
    238,544x = 127,157,854,464
  5. Step 5: Solve for x
    x = 127,157,854,464/238,544
  6. Step 6: Final answer
    x = 533,058.28

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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.