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Finding the Third Proportional to 238,898 and 334,851

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Solution

The third proportional to 238,898 and 334,851 is: 469,343.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,898 : 334,851 = 334,851 : x
  2. Step 2: Convert to fraction form
    238,898/334,851 = 334,851/x
  3. Step 3: Cross multiply
    238,898x = 334,851 × 334,851
  4. Step 4: Simplify right side
    238,898x = 112,125,192,201
  5. Step 5: Solve for x
    x = 112,125,192,201/238,898
  6. Step 6: Final answer
    x = 469,343.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.