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Finding the Third Proportional to 193,218.75 and 415,005.75

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Solution

The third proportional to 193,218.75 and 415,005.75 is: 891,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,218.75 : 415,005.75 = 415,005.75 : x
  2. Step 2: Convert to fraction form
    193,218.75/415,005.75 = 415,005.75/x
  3. Step 3: Cross multiply
    193,218.75x = 415,005.75 × 415,005.75
  4. Step 4: Simplify right side
    193,218.75x = 172,229,772,533.06
  5. Step 5: Solve for x
    x = 172,229,772,533.06/193,218.75
  6. Step 6: Final answer
    x = 891,371.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.