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Finding the Third Proportional to 117,801 and 261,735

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Solution

The third proportional to 117,801 and 261,735 is: 581,533.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,801 : 261,735 = 261,735 : x
  2. Step 2: Convert to fraction form
    117,801/261,735 = 261,735/x
  3. Step 3: Cross multiply
    117,801x = 261,735 × 261,735
  4. Step 4: Simplify right side
    117,801x = 68,505,210,225
  5. Step 5: Solve for x
    x = 68,505,210,225/117,801
  6. Step 6: Final answer
    x = 581,533.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.