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Finding the Third Proportional to 159,549.75 and 236,170.69

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Solution

The third proportional to 159,549.75 and 236,170.69 is: 349,587.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,549.75 : 236,170.69 = 236,170.69 : x
  2. Step 2: Convert to fraction form
    159,549.75/236,170.69 = 236,170.69/x
  3. Step 3: Cross multiply
    159,549.75x = 236,170.69 × 236,170.69
  4. Step 4: Simplify right side
    159,549.75x = 55,776,593,634.22
  5. Step 5: Solve for x
    x = 55,776,593,634.22/159,549.75
  6. Step 6: Final answer
    x = 349,587.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.