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Finding the Third Proportional to 202,671.75 and 439,956.75

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Solution

The third proportional to 202,671.75 and 439,956.75 is: 955,051.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,671.75 : 439,956.75 = 439,956.75 : x
  2. Step 2: Convert to fraction form
    202,671.75/439,956.75 = 439,956.75/x
  3. Step 3: Cross multiply
    202,671.75x = 439,956.75 × 439,956.75
  4. Step 4: Simplify right side
    202,671.75x = 193,561,941,870.56
  5. Step 5: Solve for x
    x = 193,561,941,870.56/202,671.75
  6. Step 6: Final answer
    x = 955,051.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.