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Finding the Third Proportional to 200.16 and 484.59

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Solution

The third proportional to 200.16 and 484.59 is: 1,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.16 : 484.59 = 484.59 : x
  2. Step 2: Convert to fraction form
    200.16/484.59 = 484.59/x
  3. Step 3: Cross multiply
    200.16x = 484.59 × 484.59
  4. Step 4: Simplify right side
    200.16x = 234,831.10
  5. Step 5: Solve for x
    x = 234,831.10/200.16
  6. Step 6: Final answer
    x = 1,173.24

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.