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Finding the Third Proportional to 161,996.06 and 218,078.25

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Solution

The third proportional to 161,996.06 and 218,078.25 is: 293,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,996.06 : 218,078.25 = 218,078.25 : x
  2. Step 2: Convert to fraction form
    161,996.06/218,078.25 = 218,078.25/x
  3. Step 3: Cross multiply
    161,996.06x = 218,078.25 × 218,078.25
  4. Step 4: Simplify right side
    161,996.06x = 47,558,123,123.06
  5. Step 5: Solve for x
    x = 47,558,123,123.06/161,996.06
  6. Step 6: Final answer
    x = 293,575.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.