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Finding the Third Proportional to 229.13 and 503.63

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Solution

The third proportional to 229.13 and 503.63 is: 1,106.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.13 : 503.63 = 503.63 : x
  2. Step 2: Convert to fraction form
    229.13/503.63 = 503.63/x
  3. Step 3: Cross multiply
    229.13x = 503.63 × 503.63
  4. Step 4: Simplify right side
    229.13x = 253,638.14
  5. Step 5: Solve for x
    x = 253,638.14/229.13
  6. Step 6: Final answer
    x = 1,106.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.