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Finding the Third Proportional to 87,232 and 190,336

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Solution

The third proportional to 87,232 and 190,336 is: 415,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,232 : 190,336 = 190,336 : x
  2. Step 2: Convert to fraction form
    87,232/190,336 = 190,336/x
  3. Step 3: Cross multiply
    87,232x = 190,336 × 190,336
  4. Step 4: Simplify right side
    87,232x = 36,227,792,896
  5. Step 5: Solve for x
    x = 36,227,792,896/87,232
  6. Step 6: Final answer
    x = 415,303.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.