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Finding the Third Proportional to 156,938 and 232,355

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Solution

The third proportional to 156,938 and 232,355 is: 344,013.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,938 : 232,355 = 232,355 : x
  2. Step 2: Convert to fraction form
    156,938/232,355 = 232,355/x
  3. Step 3: Cross multiply
    156,938x = 232,355 × 232,355
  4. Step 4: Simplify right side
    156,938x = 53,988,846,025
  5. Step 5: Solve for x
    x = 53,988,846,025/156,938
  6. Step 6: Final answer
    x = 344,013.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.