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Finding the Third Proportional to 167,678 and 253,685

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Solution

The third proportional to 167,678 and 253,685 is: 383,807.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,678 : 253,685 = 253,685 : x
  2. Step 2: Convert to fraction form
    167,678/253,685 = 253,685/x
  3. Step 3: Cross multiply
    167,678x = 253,685 × 253,685
  4. Step 4: Simplify right side
    167,678x = 64,356,079,225
  5. Step 5: Solve for x
    x = 64,356,079,225/167,678
  6. Step 6: Final answer
    x = 383,807.53

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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.