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Finding the Third Proportional to 153,016 and 331,441

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Solution

The third proportional to 153,016 and 331,441 is: 717,919.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,016 : 331,441 = 331,441 : x
  2. Step 2: Convert to fraction form
    153,016/331,441 = 331,441/x
  3. Step 3: Cross multiply
    153,016x = 331,441 × 331,441
  4. Step 4: Simplify right side
    153,016x = 109,853,136,481
  5. Step 5: Solve for x
    x = 109,853,136,481/153,016
  6. Step 6: Final answer
    x = 717,919.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.