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Finding the Third Proportional to 75,205.75 and 167,222

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Solution

The third proportional to 75,205.75 and 167,222 is: 371,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,205.75 : 167,222 = 167,222 : x
  2. Step 2: Convert to fraction form
    75,205.75/167,222 = 167,222/x
  3. Step 3: Cross multiply
    75,205.75x = 167,222 × 167,222
  4. Step 4: Simplify right side
    75,205.75x = 27,963,197,284
  5. Step 5: Solve for x
    x = 27,963,197,284/75,205.75
  6. Step 6: Final answer
    x = 371,822.60

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.