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Finding the Third Proportional to 116,685 and 255,966

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Solution

The third proportional to 116,685 and 255,966 is: 561,499.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,685 : 255,966 = 255,966 : x
  2. Step 2: Convert to fraction form
    116,685/255,966 = 255,966/x
  3. Step 3: Cross multiply
    116,685x = 255,966 × 255,966
  4. Step 4: Simplify right side
    116,685x = 65,518,593,156
  5. Step 5: Solve for x
    x = 65,518,593,156/116,685
  6. Step 6: Final answer
    x = 561,499.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.