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Finding the Third Proportional to 169,201 and 238,062

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Solution

The third proportional to 169,201 and 238,062 is: 334,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,201 : 238,062 = 238,062 : x
  2. Step 2: Convert to fraction form
    169,201/238,062 = 238,062/x
  3. Step 3: Cross multiply
    169,201x = 238,062 × 238,062
  4. Step 4: Simplify right side
    169,201x = 56,673,515,844
  5. Step 5: Solve for x
    x = 56,673,515,844/169,201
  6. Step 6: Final answer
    x = 334,947.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.