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Finding the Third Proportional to 164,068 and 234,616

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Solution

The third proportional to 164,068 and 234,616 is: 335,499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,068 : 234,616 = 234,616 : x
  2. Step 2: Convert to fraction form
    164,068/234,616 = 234,616/x
  3. Step 3: Cross multiply
    164,068x = 234,616 × 234,616
  4. Step 4: Simplify right side
    164,068x = 55,044,667,456
  5. Step 5: Solve for x
    x = 55,044,667,456/164,068
  6. Step 6: Final answer
    x = 335,499.11

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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.