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Finding the Third Proportional to 165,016 and 251,628

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Solution

The third proportional to 165,016 and 251,628 is: 383,700.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,016 : 251,628 = 251,628 : x
  2. Step 2: Convert to fraction form
    165,016/251,628 = 251,628/x
  3. Step 3: Cross multiply
    165,016x = 251,628 × 251,628
  4. Step 4: Simplify right side
    165,016x = 63,316,650,384
  5. Step 5: Solve for x
    x = 63,316,650,384/165,016
  6. Step 6: Final answer
    x = 383,700.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.