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Finding the Third Proportional to 86,577 and 185,473

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Solution

The third proportional to 86,577 and 185,473 is: 397,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,577 : 185,473 = 185,473 : x
  2. Step 2: Convert to fraction form
    86,577/185,473 = 185,473/x
  3. Step 3: Cross multiply
    86,577x = 185,473 × 185,473
  4. Step 4: Simplify right side
    86,577x = 34,400,233,729
  5. Step 5: Solve for x
    x = 34,400,233,729/86,577
  6. Step 6: Final answer
    x = 397,336.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.