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Finding the Third Proportional to 227.95 and 507.23

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Solution

The third proportional to 227.95 and 507.23 is: 1,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.95 : 507.23 = 507.23 : x
  2. Step 2: Convert to fraction form
    227.95/507.23 = 507.23/x
  3. Step 3: Cross multiply
    227.95x = 507.23 × 507.23
  4. Step 4: Simplify right side
    227.95x = 257,286.71
  5. Step 5: Solve for x
    x = 257,286.71/227.95
  6. Step 6: Final answer
    x = 1,128.68

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.