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Finding the Third Proportional to 167,051 and 350,505

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Solution

The third proportional to 167,051 and 350,505 is: 735,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,051 : 350,505 = 350,505 : x
  2. Step 2: Convert to fraction form
    167,051/350,505 = 350,505/x
  3. Step 3: Cross multiply
    167,051x = 350,505 × 350,505
  4. Step 4: Simplify right side
    167,051x = 122,853,755,025
  5. Step 5: Solve for x
    x = 122,853,755,025/167,051
  6. Step 6: Final answer
    x = 735,426.64

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.