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Finding the Third Proportional to 179,964 and 255,843

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Solution

The third proportional to 179,964 and 255,843 is: 363,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,964 : 255,843 = 255,843 : x
  2. Step 2: Convert to fraction form
    179,964/255,843 = 255,843/x
  3. Step 3: Cross multiply
    179,964x = 255,843 × 255,843
  4. Step 4: Simplify right side
    179,964x = 65,455,640,649
  5. Step 5: Solve for x
    x = 65,455,640,649/179,964
  6. Step 6: Final answer
    x = 363,715.19

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.