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Finding the Third Proportional to 86,240 and 188,512

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Solution

The third proportional to 86,240 and 188,512 is: 412,068.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,240 : 188,512 = 188,512 : x
  2. Step 2: Convert to fraction form
    86,240/188,512 = 188,512/x
  3. Step 3: Cross multiply
    86,240x = 188,512 × 188,512
  4. Step 4: Simplify right side
    86,240x = 35,536,774,144
  5. Step 5: Solve for x
    x = 35,536,774,144/86,240
  6. Step 6: Final answer
    x = 412,068.35

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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.