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Finding the Third Proportional to 228.63 and 500.81

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Solution

The third proportional to 228.63 and 500.81 is: 1,097.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.63 : 500.81 = 500.81 : x
  2. Step 2: Convert to fraction form
    228.63/500.81 = 500.81/x
  3. Step 3: Cross multiply
    228.63x = 500.81 × 500.81
  4. Step 4: Simplify right side
    228.63x = 250,813.16
  5. Step 5: Solve for x
    x = 250,813.16/228.63
  6. Step 6: Final answer
    x = 1,097.05

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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.