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Finding the Third Proportional to 167,402 and 251,472

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Solution

The third proportional to 167,402 and 251,472 is: 377,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,402 : 251,472 = 251,472 : x
  2. Step 2: Convert to fraction form
    167,402/251,472 = 251,472/x
  3. Step 3: Cross multiply
    167,402x = 251,472 × 251,472
  4. Step 4: Simplify right side
    167,402x = 63,238,166,784
  5. Step 5: Solve for x
    x = 63,238,166,784/167,402
  6. Step 6: Final answer
    x = 377,762.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.