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Finding the Third Proportional to 214,967.67 and 322,415.44

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Solution

The third proportional to 214,967.67 and 322,415.44 is: 483,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,967.67 : 322,415.44 = 322,415.44 : x
  2. Step 2: Convert to fraction form
    214,967.67/322,415.44 = 322,415.44/x
  3. Step 3: Cross multiply
    214,967.67x = 322,415.44 × 322,415.44
  4. Step 4: Simplify right side
    214,967.67x = 103,951,714,338.32
  5. Step 5: Solve for x
    x = 103,951,714,338.32/214,967.67
  6. Step 6: Final answer
    x = 483,569.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.