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Finding the Third Proportional to 229.13 and 501.56

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Solution

The third proportional to 229.13 and 501.56 is: 1,097.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.13 : 501.56 = 501.56 : x
  2. Step 2: Convert to fraction form
    229.13/501.56 = 501.56/x
  3. Step 3: Cross multiply
    229.13x = 501.56 × 501.56
  4. Step 4: Simplify right side
    229.13x = 251,564.94
  5. Step 5: Solve for x
    x = 251,564.94/229.13
  6. Step 6: Final answer
    x = 1,097.94

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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.