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Finding the Third Proportional to 193,580.82 and 415,177.84

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Solution

The third proportional to 193,580.82 and 415,177.84 is: 890,442.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,580.82 : 415,177.84 = 415,177.84 : x
  2. Step 2: Convert to fraction form
    193,580.82/415,177.84 = 415,177.84/x
  3. Step 3: Cross multiply
    193,580.82x = 415,177.84 × 415,177.84
  4. Step 4: Simplify right side
    193,580.82x = 172,372,638,697.32
  5. Step 5: Solve for x
    x = 172,372,638,697.32/193,580.82
  6. Step 6: Final answer
    x = 890,442.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.