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Finding the Third Proportional to 167,883.75 and 260,337.38

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Solution

The third proportional to 167,883.75 and 260,337.38 is: 403,705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,883.75 : 260,337.38 = 260,337.38 : x
  2. Step 2: Convert to fraction form
    167,883.75/260,337.38 = 260,337.38/x
  3. Step 3: Cross multiply
    167,883.75x = 260,337.38 × 260,337.38
  4. Step 4: Simplify right side
    167,883.75x = 67,775,548,821.89
  5. Step 5: Solve for x
    x = 67,775,548,821.89/167,883.75
  6. Step 6: Final answer
    x = 403,705.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.