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Finding the Third Proportional to 167,053 and 350,508

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Solution

The third proportional to 167,053 and 350,508 is: 735,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,053 : 350,508 = 350,508 : x
  2. Step 2: Convert to fraction form
    167,053/350,508 = 350,508/x
  3. Step 3: Cross multiply
    167,053x = 350,508 × 350,508
  4. Step 4: Simplify right side
    167,053x = 122,855,858,064
  5. Step 5: Solve for x
    x = 122,855,858,064/167,053
  6. Step 6: Final answer
    x = 735,430.42

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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.