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Finding the Third Proportional to 204,261.75 and 294,657.75

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Solution

The third proportional to 204,261.75 and 294,657.75 is: 425,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,261.75 : 294,657.75 = 294,657.75 : x
  2. Step 2: Convert to fraction form
    204,261.75/294,657.75 = 294,657.75/x
  3. Step 3: Cross multiply
    204,261.75x = 294,657.75 × 294,657.75
  4. Step 4: Simplify right side
    204,261.75x = 86,823,189,635.06
  5. Step 5: Solve for x
    x = 86,823,189,635.06/204,261.75
  6. Step 6: Final answer
    x = 425,058.48

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.