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Finding the Third Proportional to 76,243 and 167,255

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Solution

The third proportional to 76,243 and 167,255 is: 366,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,243 : 167,255 = 167,255 : x
  2. Step 2: Convert to fraction form
    76,243/167,255 = 167,255/x
  3. Step 3: Cross multiply
    76,243x = 167,255 × 167,255
  4. Step 4: Simplify right side
    76,243x = 27,974,235,025
  5. Step 5: Solve for x
    x = 27,974,235,025/76,243
  6. Step 6: Final answer
    x = 366,908.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.