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Finding the Third Proportional to 193,595.06 and 415,207.27

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Solution

The third proportional to 193,595.06 and 415,207.27 is: 890,503.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,595.06 : 415,207.27 = 415,207.27 : x
  2. Step 2: Convert to fraction form
    193,595.06/415,207.27 = 415,207.27/x
  3. Step 3: Cross multiply
    193,595.06x = 415,207.27 × 415,207.27
  4. Step 4: Simplify right side
    193,595.06x = 172,397,073,427.79
  5. Step 5: Solve for x
    x = 172,397,073,427.79/193,595.06
  6. Step 6: Final answer
    x = 890,503.46

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