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Finding the Third Proportional to 214,020 and 331,848

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Solution

The third proportional to 214,020 and 331,848 is: 514,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,020 : 331,848 = 331,848 : x
  2. Step 2: Convert to fraction form
    214,020/331,848 = 331,848/x
  3. Step 3: Cross multiply
    214,020x = 331,848 × 331,848
  4. Step 4: Simplify right side
    214,020x = 110,123,095,104
  5. Step 5: Solve for x
    x = 110,123,095,104/214,020
  6. Step 6: Final answer
    x = 514,545.81

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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.