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Finding the Third Proportional to 169,131 and 260,055

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Solution

The third proportional to 169,131 and 260,055 is: 399,859.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,131 : 260,055 = 260,055 : x
  2. Step 2: Convert to fraction form
    169,131/260,055 = 260,055/x
  3. Step 3: Cross multiply
    169,131x = 260,055 × 260,055
  4. Step 4: Simplify right side
    169,131x = 67,628,603,025
  5. Step 5: Solve for x
    x = 67,628,603,025/169,131
  6. Step 6: Final answer
    x = 399,859.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.