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Finding the Third Proportional to 86,244 and 185,602

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Solution

The third proportional to 86,244 and 185,602 is: 399,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,244 : 185,602 = 185,602 : x
  2. Step 2: Convert to fraction form
    86,244/185,602 = 185,602/x
  3. Step 3: Cross multiply
    86,244x = 185,602 × 185,602
  4. Step 4: Simplify right side
    86,244x = 34,448,102,404
  5. Step 5: Solve for x
    x = 34,448,102,404/86,244
  6. Step 6: Final answer
    x = 399,426.07

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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.