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Finding the Third Proportional to 167,656 and 253,651

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Solution

The third proportional to 167,656 and 253,651 is: 383,755.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,656 : 253,651 = 253,651 : x
  2. Step 2: Convert to fraction form
    167,656/253,651 = 253,651/x
  3. Step 3: Cross multiply
    167,656x = 253,651 × 253,651
  4. Step 4: Simplify right side
    167,656x = 64,338,829,801
  5. Step 5: Solve for x
    x = 64,338,829,801/167,656
  6. Step 6: Final answer
    x = 383,755.01

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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.