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Finding the Third Proportional to 116,478 and 255,006

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Solution

The third proportional to 116,478 and 255,006 is: 558,286.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,478 : 255,006 = 255,006 : x
  2. Step 2: Convert to fraction form
    116,478/255,006 = 255,006/x
  3. Step 3: Cross multiply
    116,478x = 255,006 × 255,006
  4. Step 4: Simplify right side
    116,478x = 65,028,060,036
  5. Step 5: Solve for x
    x = 65,028,060,036/116,478
  6. Step 6: Final answer
    x = 558,286.20

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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.