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Finding the Third Proportional to 171,082 and 373,220

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Solution

The third proportional to 171,082 and 373,220 is: 814,189.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,082 : 373,220 = 373,220 : x
  2. Step 2: Convert to fraction form
    171,082/373,220 = 373,220/x
  3. Step 3: Cross multiply
    171,082x = 373,220 × 373,220
  4. Step 4: Simplify right side
    171,082x = 139,293,168,400
  5. Step 5: Solve for x
    x = 139,293,168,400/171,082
  6. Step 6: Final answer
    x = 814,189.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.