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Finding the Third Proportional to 156,026 and 234,042

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Solution

The third proportional to 156,026 and 234,042 is: 351,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,026 : 234,042 = 234,042 : x
  2. Step 2: Convert to fraction form
    156,026/234,042 = 234,042/x
  3. Step 3: Cross multiply
    156,026x = 234,042 × 234,042
  4. Step 4: Simplify right side
    156,026x = 54,775,657,764
  5. Step 5: Solve for x
    x = 54,775,657,764/156,026
  6. Step 6: Final answer
    x = 351,067.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.