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Finding the Third Proportional to 116,360 and 251,286

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Solution

The third proportional to 116,360 and 251,286 is: 542,666.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,360 : 251,286 = 251,286 : x
  2. Step 2: Convert to fraction form
    116,360/251,286 = 251,286/x
  3. Step 3: Cross multiply
    116,360x = 251,286 × 251,286
  4. Step 4: Simplify right side
    116,360x = 63,144,653,796
  5. Step 5: Solve for x
    x = 63,144,653,796/116,360
  6. Step 6: Final answer
    x = 542,666.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.