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Finding the Third Proportional to 86,310 and 184,617

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Solution

The third proportional to 86,310 and 184,617 is: 394,895.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,310 : 184,617 = 184,617 : x
  2. Step 2: Convert to fraction form
    86,310/184,617 = 184,617/x
  3. Step 3: Cross multiply
    86,310x = 184,617 × 184,617
  4. Step 4: Simplify right side
    86,310x = 34,083,436,689
  5. Step 5: Solve for x
    x = 34,083,436,689/86,310
  6. Step 6: Final answer
    x = 394,895.57

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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.