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Finding the Third Proportional to 167,996 and 260,119

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Solution

The third proportional to 167,996 and 260,119 is: 402,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,996 : 260,119 = 260,119 : x
  2. Step 2: Convert to fraction form
    167,996/260,119 = 260,119/x
  3. Step 3: Cross multiply
    167,996x = 260,119 × 260,119
  4. Step 4: Simplify right side
    167,996x = 67,661,894,161
  5. Step 5: Solve for x
    x = 67,661,894,161/167,996
  6. Step 6: Final answer
    x = 402,758.96

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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.