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Finding the Third Proportional to 80,514 and 174,865

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Solution

The third proportional to 80,514 and 174,865 is: 379,782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,514 : 174,865 = 174,865 : x
  2. Step 2: Convert to fraction form
    80,514/174,865 = 174,865/x
  3. Step 3: Cross multiply
    80,514x = 174,865 × 174,865
  4. Step 4: Simplify right side
    80,514x = 30,577,768,225
  5. Step 5: Solve for x
    x = 30,577,768,225/80,514
  6. Step 6: Final answer
    x = 379,782.00

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