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Finding the Third Proportional to 170,828 and 365,301

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Solution

The third proportional to 170,828 and 365,301 is: 781,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,828 : 365,301 = 365,301 : x
  2. Step 2: Convert to fraction form
    170,828/365,301 = 365,301/x
  3. Step 3: Cross multiply
    170,828x = 365,301 × 365,301
  4. Step 4: Simplify right side
    170,828x = 133,444,820,601
  5. Step 5: Solve for x
    x = 133,444,820,601/170,828
  6. Step 6: Final answer
    x = 781,164.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.