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Finding the Third Proportional to 107,236 and 232,904

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Solution

The third proportional to 107,236 and 232,904 is: 505,840.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,236 : 232,904 = 232,904 : x
  2. Step 2: Convert to fraction form
    107,236/232,904 = 232,904/x
  3. Step 3: Cross multiply
    107,236x = 232,904 × 232,904
  4. Step 4: Simplify right side
    107,236x = 54,244,273,216
  5. Step 5: Solve for x
    x = 54,244,273,216/107,236
  6. Step 6: Final answer
    x = 505,840.14

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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.