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Finding the Third Proportional to 205,484.34 and 322,425.56

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Solution

The third proportional to 205,484.34 and 322,425.56 is: 505,918.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,484.34 : 322,425.56 = 322,425.56 : x
  2. Step 2: Convert to fraction form
    205,484.34/322,425.56 = 322,425.56/x
  3. Step 3: Cross multiply
    205,484.34x = 322,425.56 × 322,425.56
  4. Step 4: Simplify right side
    205,484.34x = 103,958,243,353.44
  5. Step 5: Solve for x
    x = 103,958,243,353.44/205,484.34
  6. Step 6: Final answer
    x = 505,918.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.