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Finding the Third Proportional to 167,055.19 and 221,517

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Solution

The third proportional to 167,055.19 and 221,517 is: 293,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,055.19 : 221,517 = 221,517 : x
  2. Step 2: Convert to fraction form
    167,055.19/221,517 = 221,517/x
  3. Step 3: Cross multiply
    167,055.19x = 221,517 × 221,517
  4. Step 4: Simplify right side
    167,055.19x = 49,069,781,289
  5. Step 5: Solve for x
    x = 49,069,781,289/167,055.19
  6. Step 6: Final answer
    x = 293,733.96

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.