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Finding the Third Proportional to 201,728 and 293,133

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Solution

The third proportional to 201,728 and 293,133 is: 425,954.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,728 : 293,133 = 293,133 : x
  2. Step 2: Convert to fraction form
    201,728/293,133 = 293,133/x
  3. Step 3: Cross multiply
    201,728x = 293,133 × 293,133
  4. Step 4: Simplify right side
    201,728x = 85,926,955,689
  5. Step 5: Solve for x
    x = 85,926,955,689/201,728
  6. Step 6: Final answer
    x = 425,954.53

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Why These Related Problems?

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