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Finding the Third Proportional to 214,016.06 and 331,844.34

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Solution

The third proportional to 214,016.06 and 331,844.34 is: 514,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,016.06 : 331,844.34 = 331,844.34 : x
  2. Step 2: Convert to fraction form
    214,016.06/331,844.34 = 331,844.34/x
  3. Step 3: Cross multiply
    214,016.06x = 331,844.34 × 331,844.34
  4. Step 4: Simplify right side
    214,016.06x = 110,120,668,478.87
  5. Step 5: Solve for x
    x = 110,120,668,478.87/214,016.06
  6. Step 6: Final answer
    x = 514,543.94

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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.