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Finding the Third Proportional to 156,914 and 236,838

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Solution

The third proportional to 156,914 and 236,838 is: 357,471.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,914 : 236,838 = 236,838 : x
  2. Step 2: Convert to fraction form
    156,914/236,838 = 236,838/x
  3. Step 3: Cross multiply
    156,914x = 236,838 × 236,838
  4. Step 4: Simplify right side
    156,914x = 56,092,238,244
  5. Step 5: Solve for x
    x = 56,092,238,244/156,914
  6. Step 6: Final answer
    x = 357,471.22

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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.