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Finding the Third Proportional to 229.08 and 488.53

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Solution

The third proportional to 229.08 and 488.53 is: 1,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.08 : 488.53 = 488.53 : x
  2. Step 2: Convert to fraction form
    229.08/488.53 = 488.53/x
  3. Step 3: Cross multiply
    229.08x = 488.53 × 488.53
  4. Step 4: Simplify right side
    229.08x = 238,662.78
  5. Step 5: Solve for x
    x = 238,662.78/229.08
  6. Step 6: Final answer
    x = 1,041.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.