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Finding the Third Proportional to 182,206.13 and 285,801.75

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Solution

The third proportional to 182,206.13 and 285,801.75 is: 448,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,206.13 : 285,801.75 = 285,801.75 : x
  2. Step 2: Convert to fraction form
    182,206.13/285,801.75 = 285,801.75/x
  3. Step 3: Cross multiply
    182,206.13x = 285,801.75 × 285,801.75
  4. Step 4: Simplify right side
    182,206.13x = 81,682,640,303.06
  5. Step 5: Solve for x
    x = 81,682,640,303.06/182,206.13
  6. Step 6: Final answer
    x = 448,297.99

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.