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Finding the Third Proportional to 171,840 and 373,200

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Solution

The third proportional to 171,840 and 373,200 is: 810,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,840 : 373,200 = 373,200 : x
  2. Step 2: Convert to fraction form
    171,840/373,200 = 373,200/x
  3. Step 3: Cross multiply
    171,840x = 373,200 × 373,200
  4. Step 4: Simplify right side
    171,840x = 139,278,240,000
  5. Step 5: Solve for x
    x = 139,278,240,000/171,840
  6. Step 6: Final answer
    x = 810,511.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.