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Finding the Third Proportional to 201,883.75 and 294,062.44

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Solution

The third proportional to 201,883.75 and 294,062.44 is: 428,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,883.75 : 294,062.44 = 294,062.44 : x
  2. Step 2: Convert to fraction form
    201,883.75/294,062.44 = 294,062.44/x
  3. Step 3: Cross multiply
    201,883.75x = 294,062.44 × 294,062.44
  4. Step 4: Simplify right side
    201,883.75x = 86,472,717,148.44
  5. Step 5: Solve for x
    x = 86,472,717,148.44/201,883.75
  6. Step 6: Final answer
    x = 428,329.26

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.