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Finding the Third Proportional to 167,168 and 234,300

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Solution

The third proportional to 167,168 and 234,300 is: 328,391.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,168 : 234,300 = 234,300 : x
  2. Step 2: Convert to fraction form
    167,168/234,300 = 234,300/x
  3. Step 3: Cross multiply
    167,168x = 234,300 × 234,300
  4. Step 4: Simplify right side
    167,168x = 54,896,490,000
  5. Step 5: Solve for x
    x = 54,896,490,000/167,168
  6. Step 6: Final answer
    x = 328,391.14

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