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Finding the Third Proportional to 238,841 and 372,789

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Solution

The third proportional to 238,841 and 372,789 is: 581,858.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,841 : 372,789 = 372,789 : x
  2. Step 2: Convert to fraction form
    238,841/372,789 = 372,789/x
  3. Step 3: Cross multiply
    238,841x = 372,789 × 372,789
  4. Step 4: Simplify right side
    238,841x = 138,971,638,521
  5. Step 5: Solve for x
    x = 138,971,638,521/238,841
  6. Step 6: Final answer
    x = 581,858.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.