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Finding the Third Proportional to 179,795 and 269,368

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Solution

The third proportional to 179,795 and 269,368 is: 403,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,795 : 269,368 = 269,368 : x
  2. Step 2: Convert to fraction form
    179,795/269,368 = 269,368/x
  3. Step 3: Cross multiply
    179,795x = 269,368 × 269,368
  4. Step 4: Simplify right side
    179,795x = 72,559,119,424
  5. Step 5: Solve for x
    x = 72,559,119,424/179,795
  6. Step 6: Final answer
    x = 403,565.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.