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Finding the Third Proportional to 165,357 and 262,179

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Solution

The third proportional to 165,357 and 262,179 is: 415,693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,357 : 262,179 = 262,179 : x
  2. Step 2: Convert to fraction form
    165,357/262,179 = 262,179/x
  3. Step 3: Cross multiply
    165,357x = 262,179 × 262,179
  4. Step 4: Simplify right side
    165,357x = 68,737,828,041
  5. Step 5: Solve for x
    x = 68,737,828,041/165,357
  6. Step 6: Final answer
    x = 415,693.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.