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Finding the Third Proportional to 202,082 and 311,548

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Solution

The third proportional to 202,082 and 311,548 is: 480,310.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,082 : 311,548 = 311,548 : x
  2. Step 2: Convert to fraction form
    202,082/311,548 = 311,548/x
  3. Step 3: Cross multiply
    202,082x = 311,548 × 311,548
  4. Step 4: Simplify right side
    202,082x = 97,062,156,304
  5. Step 5: Solve for x
    x = 97,062,156,304/202,082
  6. Step 6: Final answer
    x = 480,310.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.