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Finding the Third Proportional to 155,532 and 232,227

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Solution

The third proportional to 155,532 and 232,227 is: 346,741.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,532 : 232,227 = 232,227 : x
  2. Step 2: Convert to fraction form
    155,532/232,227 = 232,227/x
  3. Step 3: Cross multiply
    155,532x = 232,227 × 232,227
  4. Step 4: Simplify right side
    155,532x = 53,929,379,529
  5. Step 5: Solve for x
    x = 53,929,379,529/155,532
  6. Step 6: Final answer
    x = 346,741.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.