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Finding the Third Proportional to 201,883.88 and 294,062.38

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Solution

The third proportional to 201,883.88 and 294,062.38 is: 428,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,883.88 : 294,062.38 = 294,062.38 : x
  2. Step 2: Convert to fraction form
    201,883.88/294,062.38 = 294,062.38/x
  3. Step 3: Cross multiply
    201,883.88x = 294,062.38 × 294,062.38
  4. Step 4: Simplify right side
    201,883.88x = 86,472,680,390.64
  5. Step 5: Solve for x
    x = 86,472,680,390.64/201,883.88
  6. Step 6: Final answer
    x = 428,328.81

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Why These Related Problems?

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