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Finding the Third Proportional to 179,363 and 269,470

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Solution

The third proportional to 179,363 and 269,470 is: 404,844.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,363 : 269,470 = 269,470 : x
  2. Step 2: Convert to fraction form
    179,363/269,470 = 269,470/x
  3. Step 3: Cross multiply
    179,363x = 269,470 × 269,470
  4. Step 4: Simplify right side
    179,363x = 72,614,080,900
  5. Step 5: Solve for x
    x = 72,614,080,900/179,363
  6. Step 6: Final answer
    x = 404,844.26

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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.