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Finding the Third Proportional to 156,934 and 236,877

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Solution

The third proportional to 156,934 and 236,877 is: 357,543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,934 : 236,877 = 236,877 : x
  2. Step 2: Convert to fraction form
    156,934/236,877 = 236,877/x
  3. Step 3: Cross multiply
    156,934x = 236,877 × 236,877
  4. Step 4: Simplify right side
    156,934x = 56,110,713,129
  5. Step 5: Solve for x
    x = 56,110,713,129/156,934
  6. Step 6: Final answer
    x = 357,543.38

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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.