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Finding the Third Proportional to 167,861 and 260,301

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Solution

The third proportional to 167,861 and 260,301 is: 403,647.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,861 : 260,301 = 260,301 : x
  2. Step 2: Convert to fraction form
    167,861/260,301 = 260,301/x
  3. Step 3: Cross multiply
    167,861x = 260,301 × 260,301
  4. Step 4: Simplify right side
    167,861x = 67,756,610,601
  5. Step 5: Solve for x
    x = 67,756,610,601/167,861
  6. Step 6: Final answer
    x = 403,647.13

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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.