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Finding the Third Proportional to 171,080 and 373,216

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Solution

The third proportional to 171,080 and 373,216 is: 814,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,080 : 373,216 = 373,216 : x
  2. Step 2: Convert to fraction form
    171,080/373,216 = 373,216/x
  3. Step 3: Cross multiply
    171,080x = 373,216 × 373,216
  4. Step 4: Simplify right side
    171,080x = 139,290,182,656
  5. Step 5: Solve for x
    x = 139,290,182,656/171,080
  6. Step 6: Final answer
    x = 814,181.57

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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.