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Finding the Third Proportional to 201,882.38 and 293,427.56

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Solution

The third proportional to 201,882.38 and 293,427.56 is: 426,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,882.38 : 293,427.56 = 293,427.56 : x
  2. Step 2: Convert to fraction form
    201,882.38/293,427.56 = 293,427.56/x
  3. Step 3: Cross multiply
    201,882.38x = 293,427.56 × 293,427.56
  4. Step 4: Simplify right side
    201,882.38x = 86,099,734,434.69
  5. Step 5: Solve for x
    x = 86,099,734,434.69/201,882.38
  6. Step 6: Final answer
    x = 426,484.65

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.