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Finding the Third Proportional to 141,750 and 204,241.50

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Solution

The third proportional to 141,750 and 204,241.50 is: 294,282.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,750 : 204,241.50 = 204,241.50 : x
  2. Step 2: Convert to fraction form
    141,750/204,241.50 = 204,241.50/x
  3. Step 3: Cross multiply
    141,750x = 204,241.50 × 204,241.50
  4. Step 4: Simplify right side
    141,750x = 41,714,590,322.25
  5. Step 5: Solve for x
    x = 41,714,590,322.25/141,750
  6. Step 6: Final answer
    x = 294,282.82

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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.