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Finding the Third Proportional to 140,757.75 and 293,164.31

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Solution

The third proportional to 140,757.75 and 293,164.31 is: 610,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,757.75 : 293,164.31 = 293,164.31 : x
  2. Step 2: Convert to fraction form
    140,757.75/293,164.31 = 293,164.31/x
  3. Step 3: Cross multiply
    140,757.75x = 293,164.31 × 293,164.31
  4. Step 4: Simplify right side
    140,757.75x = 85,945,314,123.60
  5. Step 5: Solve for x
    x = 85,945,314,123.60/140,757.75
  6. Step 6: Final answer
    x = 610,590.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.