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Finding the Third Proportional to 107,186 and 232,824

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Solution

The third proportional to 107,186 and 232,824 is: 505,728.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,186 : 232,824 = 232,824 : x
  2. Step 2: Convert to fraction form
    107,186/232,824 = 232,824/x
  3. Step 3: Cross multiply
    107,186x = 232,824 × 232,824
  4. Step 4: Simplify right side
    107,186x = 54,207,014,976
  5. Step 5: Solve for x
    x = 54,207,014,976/107,186
  6. Step 6: Final answer
    x = 505,728.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.