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Finding the Third Proportional to 159,635 and 238,069

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Solution

The third proportional to 159,635 and 238,069 is: 355,040.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,635 : 238,069 = 238,069 : x
  2. Step 2: Convert to fraction form
    159,635/238,069 = 238,069/x
  3. Step 3: Cross multiply
    159,635x = 238,069 × 238,069
  4. Step 4: Simplify right side
    159,635x = 56,676,848,761
  5. Step 5: Solve for x
    x = 56,676,848,761/159,635
  6. Step 6: Final answer
    x = 355,040.24

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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.