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Finding the Third Proportional to 86,255 and 188,602

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Solution

The third proportional to 86,255 and 188,602 is: 412,390.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,255 : 188,602 = 188,602 : x
  2. Step 2: Convert to fraction form
    86,255/188,602 = 188,602/x
  3. Step 3: Cross multiply
    86,255x = 188,602 × 188,602
  4. Step 4: Simplify right side
    86,255x = 35,570,714,404
  5. Step 5: Solve for x
    x = 35,570,714,404/86,255
  6. Step 6: Final answer
    x = 412,390.17

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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.