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Finding the Third Proportional to 116,826 and 255,765

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Solution

The third proportional to 116,826 and 255,765 is: 559,941.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,826 : 255,765 = 255,765 : x
  2. Step 2: Convert to fraction form
    116,826/255,765 = 255,765/x
  3. Step 3: Cross multiply
    116,826x = 255,765 × 255,765
  4. Step 4: Simplify right side
    116,826x = 65,415,735,225
  5. Step 5: Solve for x
    x = 65,415,735,225/116,826
  6. Step 6: Final answer
    x = 559,941.58

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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.