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Finding the Third Proportional to 164,132 and 251,014

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Solution

The third proportional to 164,132 and 251,014 is: 383,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,132 : 251,014 = 251,014 : x
  2. Step 2: Convert to fraction form
    164,132/251,014 = 251,014/x
  3. Step 3: Cross multiply
    164,132x = 251,014 × 251,014
  4. Step 4: Simplify right side
    164,132x = 63,008,028,196
  5. Step 5: Solve for x
    x = 63,008,028,196/164,132
  6. Step 6: Final answer
    x = 383,886.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.