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Finding the Third Proportional to 104.63 and 229.22

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Solution

The third proportional to 104.63 and 229.22 is: 502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.63 : 229.22 = 229.22 : x
  2. Step 2: Convert to fraction form
    104.63/229.22 = 229.22/x
  3. Step 3: Cross multiply
    104.63x = 229.22 × 229.22
  4. Step 4: Simplify right side
    104.63x = 52,541.24
  5. Step 5: Solve for x
    x = 52,541.24/104.63
  6. Step 6: Final answer
    x = 502.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.