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Finding the Third Proportional to 200,610.42 and 311,627.95

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Solution

The third proportional to 200,610.42 and 311,627.95 is: 484,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,610.42 : 311,627.95 = 311,627.95 : x
  2. Step 2: Convert to fraction form
    200,610.42/311,627.95 = 311,627.95/x
  3. Step 3: Cross multiply
    200,610.42x = 311,627.95 × 311,627.95
  4. Step 4: Simplify right side
    200,610.42x = 97,111,981,168.88
  5. Step 5: Solve for x
    x = 97,111,981,168.88/200,610.42
  6. Step 6: Final answer
    x = 484,082.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.