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Finding the Third Proportional to 151,446 and 235,172

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Solution

The third proportional to 151,446 and 235,172 is: 365,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,446 : 235,172 = 235,172 : x
  2. Step 2: Convert to fraction form
    151,446/235,172 = 235,172/x
  3. Step 3: Cross multiply
    151,446x = 235,172 × 235,172
  4. Step 4: Simplify right side
    151,446x = 55,305,869,584
  5. Step 5: Solve for x
    x = 55,305,869,584/151,446
  6. Step 6: Final answer
    x = 365,185.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.