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Finding the Third Proportional to 185,331.75 and 406,749

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Solution

The third proportional to 185,331.75 and 406,749 is: 892,695.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,331.75 : 406,749 = 406,749 : x
  2. Step 2: Convert to fraction form
    185,331.75/406,749 = 406,749/x
  3. Step 3: Cross multiply
    185,331.75x = 406,749 × 406,749
  4. Step 4: Simplify right side
    185,331.75x = 165,444,749,001
  5. Step 5: Solve for x
    x = 165,444,749,001/185,331.75
  6. Step 6: Final answer
    x = 892,695.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.