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Finding the Third Proportional to 167,659.88 and 253,064.25

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Solution

The third proportional to 167,659.88 and 253,064.25 is: 381,972.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,659.88 : 253,064.25 = 253,064.25 : x
  2. Step 2: Convert to fraction form
    167,659.88/253,064.25 = 253,064.25/x
  3. Step 3: Cross multiply
    167,659.88x = 253,064.25 × 253,064.25
  4. Step 4: Simplify right side
    167,659.88x = 64,041,514,628.06
  5. Step 5: Solve for x
    x = 64,041,514,628.06/167,659.88
  6. Step 6: Final answer
    x = 381,972.82

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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.