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Finding the Third Proportional to 167,654 and 253,648

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Solution

The third proportional to 167,654 and 253,648 is: 383,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,654 : 253,648 = 253,648 : x
  2. Step 2: Convert to fraction form
    167,654/253,648 = 253,648/x
  3. Step 3: Cross multiply
    167,654x = 253,648 × 253,648
  4. Step 4: Simplify right side
    167,654x = 64,337,307,904
  5. Step 5: Solve for x
    x = 64,337,307,904/167,654
  6. Step 6: Final answer
    x = 383,750.51

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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.