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Finding the Third Proportional to 200,737.50 and 293,568

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Solution

The third proportional to 200,737.50 and 293,568 is: 429,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,737.50 : 293,568 = 293,568 : x
  2. Step 2: Convert to fraction form
    200,737.50/293,568 = 293,568/x
  3. Step 3: Cross multiply
    200,737.50x = 293,568 × 293,568
  4. Step 4: Simplify right side
    200,737.50x = 86,182,170,624
  5. Step 5: Solve for x
    x = 86,182,170,624/200,737.50
  6. Step 6: Final answer
    x = 429,327.71

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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.