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Finding the Third Proportional to 167,968.69 and 260,085.94

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Solution

The third proportional to 167,968.69 and 260,085.94 is: 402,722.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,968.69 : 260,085.94 = 260,085.94 : x
  2. Step 2: Convert to fraction form
    167,968.69/260,085.94 = 260,085.94/x
  3. Step 3: Cross multiply
    167,968.69x = 260,085.94 × 260,085.94
  4. Step 4: Simplify right side
    167,968.69x = 67,644,694,885.25
  5. Step 5: Solve for x
    x = 67,644,694,885.25/167,968.69
  6. Step 6: Final answer
    x = 402,722.05

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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.