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Finding the Third Proportional to 114,082 and 254,367

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Solution

The third proportional to 114,082 and 254,367 is: 567,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,082 : 254,367 = 254,367 : x
  2. Step 2: Convert to fraction form
    114,082/254,367 = 254,367/x
  3. Step 3: Cross multiply
    114,082x = 254,367 × 254,367
  4. Step 4: Simplify right side
    114,082x = 64,702,570,689
  5. Step 5: Solve for x
    x = 64,702,570,689/114,082
  6. Step 6: Final answer
    x = 567,158.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.