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Finding the Third Proportional to 200.34 and 506.19

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Solution

The third proportional to 200.34 and 506.19 is: 1,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.34 : 506.19 = 506.19 : x
  2. Step 2: Convert to fraction form
    200.34/506.19 = 506.19/x
  3. Step 3: Cross multiply
    200.34x = 506.19 × 506.19
  4. Step 4: Simplify right side
    200.34x = 256,225.79
  5. Step 5: Solve for x
    x = 256,225.79/200.34
  6. Step 6: Final answer
    x = 1,278.93

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Why These Related Problems?

These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.