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Finding the Third Proportional to 114,082 and 254,368

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Solution

The third proportional to 114,082 and 254,368 is: 567,162.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,082 : 254,368 = 254,368 : x
  2. Step 2: Convert to fraction form
    114,082/254,368 = 254,368/x
  3. Step 3: Cross multiply
    114,082x = 254,368 × 254,368
  4. Step 4: Simplify right side
    114,082x = 64,703,079,424
  5. Step 5: Solve for x
    x = 64,703,079,424/114,082
  6. Step 6: Final answer
    x = 567,162.91

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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.