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Finding the Third Proportional to 179,109 and 375,480

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Solution

The third proportional to 179,109 and 375,480 is: 787,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,109 : 375,480 = 375,480 : x
  2. Step 2: Convert to fraction form
    179,109/375,480 = 375,480/x
  3. Step 3: Cross multiply
    179,109x = 375,480 × 375,480
  4. Step 4: Simplify right side
    179,109x = 140,985,230,400
  5. Step 5: Solve for x
    x = 140,985,230,400/179,109
  6. Step 6: Final answer
    x = 787,147.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.