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Finding the Third Proportional to 167,693 and 253,109

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Solution

The third proportional to 167,693 and 253,109 is: 382,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,693 : 253,109 = 253,109 : x
  2. Step 2: Convert to fraction form
    167,693/253,109 = 253,109/x
  3. Step 3: Cross multiply
    167,693x = 253,109 × 253,109
  4. Step 4: Simplify right side
    167,693x = 64,064,165,881
  5. Step 5: Solve for x
    x = 64,064,165,881/167,693
  6. Step 6: Final answer
    x = 382,032.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.