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Finding the Third Proportional to 283,216.50 and 302,626.13

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Solution

The third proportional to 283,216.50 and 302,626.13 is: 323,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216.50 : 302,626.13 = 302,626.13 : x
  2. Step 2: Convert to fraction form
    283,216.50/302,626.13 = 302,626.13/x
  3. Step 3: Cross multiply
    283,216.50x = 302,626.13 × 302,626.13
  4. Step 4: Simplify right side
    283,216.50x = 91,582,571,532.52
  5. Step 5: Solve for x
    x = 91,582,571,532.52/283,216.50
  6. Step 6: Final answer
    x = 323,365.95

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.