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Finding the Third Proportional to 156,625 and 237,124

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Solution

The third proportional to 156,625 and 237,124 is: 358,996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,625 : 237,124 = 237,124 : x
  2. Step 2: Convert to fraction form
    156,625/237,124 = 237,124/x
  3. Step 3: Cross multiply
    156,625x = 237,124 × 237,124
  4. Step 4: Simplify right side
    156,625x = 56,227,791,376
  5. Step 5: Solve for x
    x = 56,227,791,376/156,625
  6. Step 6: Final answer
    x = 358,996.27

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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.