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Finding the Third Proportional to 116,901 and 255,670

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Solution

The third proportional to 116,901 and 255,670 is: 559,166.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,901 : 255,670 = 255,670 : x
  2. Step 2: Convert to fraction form
    116,901/255,670 = 255,670/x
  3. Step 3: Cross multiply
    116,901x = 255,670 × 255,670
  4. Step 4: Simplify right side
    116,901x = 65,367,148,900
  5. Step 5: Solve for x
    x = 65,367,148,900/116,901
  6. Step 6: Final answer
    x = 559,166.72

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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.