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Finding the Third Proportional to 162,729 and 236,628

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Solution

The third proportional to 162,729 and 236,628 is: 344,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,729 : 236,628 = 236,628 : x
  2. Step 2: Convert to fraction form
    162,729/236,628 = 236,628/x
  3. Step 3: Cross multiply
    162,729x = 236,628 × 236,628
  4. Step 4: Simplify right side
    162,729x = 55,992,810,384
  5. Step 5: Solve for x
    x = 55,992,810,384/162,729
  6. Step 6: Final answer
    x = 344,086.24

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.