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Finding the Third Proportional to 156,805 and 236,667

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Solution

The third proportional to 156,805 and 236,667 is: 357,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,805 : 236,667 = 236,667 : x
  2. Step 2: Convert to fraction form
    156,805/236,667 = 236,667/x
  3. Step 3: Cross multiply
    156,805x = 236,667 × 236,667
  4. Step 4: Simplify right side
    156,805x = 56,011,268,889
  5. Step 5: Solve for x
    x = 56,011,268,889/156,805
  6. Step 6: Final answer
    x = 357,203.33

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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.