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Finding the Third Proportional to 105,340 and 232,028

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Solution

The third proportional to 105,340 and 232,028 is: 511,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,340 : 232,028 = 232,028 : x
  2. Step 2: Convert to fraction form
    105,340/232,028 = 232,028/x
  3. Step 3: Cross multiply
    105,340x = 232,028 × 232,028
  4. Step 4: Simplify right side
    105,340x = 53,836,992,784
  5. Step 5: Solve for x
    x = 53,836,992,784/105,340
  6. Step 6: Final answer
    x = 511,078.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.