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Finding the Third Proportional to 86,462.25 and 189,327

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Solution

The third proportional to 86,462.25 and 189,327 is: 414,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,462.25 : 189,327 = 189,327 : x
  2. Step 2: Convert to fraction form
    86,462.25/189,327 = 189,327/x
  3. Step 3: Cross multiply
    86,462.25x = 189,327 × 189,327
  4. Step 4: Simplify right side
    86,462.25x = 35,844,712,929
  5. Step 5: Solve for x
    x = 35,844,712,929/86,462.25
  6. Step 6: Final answer
    x = 414,570.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.