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Finding the Third Proportional to 155,016 and 331,180

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Solution

The third proportional to 155,016 and 331,180 is: 707,541.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,016 : 331,180 = 331,180 : x
  2. Step 2: Convert to fraction form
    155,016/331,180 = 331,180/x
  3. Step 3: Cross multiply
    155,016x = 331,180 × 331,180
  4. Step 4: Simplify right side
    155,016x = 109,680,192,400
  5. Step 5: Solve for x
    x = 109,680,192,400/155,016
  6. Step 6: Final answer
    x = 707,541.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.