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Finding the Third Proportional to 214,905 and 467,123.25

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Solution

The third proportional to 214,905 and 467,123.25 is: 1,015,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,905 : 467,123.25 = 467,123.25 : x
  2. Step 2: Convert to fraction form
    214,905/467,123.25 = 467,123.25/x
  3. Step 3: Cross multiply
    214,905x = 467,123.25 × 467,123.25
  4. Step 4: Simplify right side
    214,905x = 218,204,130,690.56
  5. Step 5: Solve for x
    x = 218,204,130,690.56/214,905
  6. Step 6: Final answer
    x = 1,015,351.58

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