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Finding the Third Proportional to 86,353 and 185,714

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Solution

The third proportional to 86,353 and 185,714 is: 399,403.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,353 : 185,714 = 185,714 : x
  2. Step 2: Convert to fraction form
    86,353/185,714 = 185,714/x
  3. Step 3: Cross multiply
    86,353x = 185,714 × 185,714
  4. Step 4: Simplify right side
    86,353x = 34,489,689,796
  5. Step 5: Solve for x
    x = 34,489,689,796/86,353
  6. Step 6: Final answer
    x = 399,403.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.