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Finding the Third Proportional to 164,646 and 261,828

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Solution

The third proportional to 164,646 and 261,828 is: 416,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,646 : 261,828 = 261,828 : x
  2. Step 2: Convert to fraction form
    164,646/261,828 = 261,828/x
  3. Step 3: Cross multiply
    164,646x = 261,828 × 261,828
  4. Step 4: Simplify right side
    164,646x = 68,553,901,584
  5. Step 5: Solve for x
    x = 68,553,901,584/164,646
  6. Step 6: Final answer
    x = 416,371.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.