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Finding the Third Proportional to 106,276 and 233,864

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Solution

The third proportional to 106,276 and 233,864 is: 514,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,276 : 233,864 = 233,864 : x
  2. Step 2: Convert to fraction form
    106,276/233,864 = 233,864/x
  3. Step 3: Cross multiply
    106,276x = 233,864 × 233,864
  4. Step 4: Simplify right side
    106,276x = 54,692,370,496
  5. Step 5: Solve for x
    x = 54,692,370,496/106,276
  6. Step 6: Final answer
    x = 514,625.79

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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.