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Finding the Third Proportional to 164,342 and 234,849

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Solution

The third proportional to 164,342 and 234,849 is: 335,605.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,342 : 234,849 = 234,849 : x
  2. Step 2: Convert to fraction form
    164,342/234,849 = 234,849/x
  3. Step 3: Cross multiply
    164,342x = 234,849 × 234,849
  4. Step 4: Simplify right side
    164,342x = 55,154,052,801
  5. Step 5: Solve for x
    x = 55,154,052,801/164,342
  6. Step 6: Final answer
    x = 335,605.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.