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Finding the Third Proportional to 106,550 and 233,836

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Solution

The third proportional to 106,550 and 233,836 is: 513,179.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,550 : 233,836 = 233,836 : x
  2. Step 2: Convert to fraction form
    106,550/233,836 = 233,836/x
  3. Step 3: Cross multiply
    106,550x = 233,836 × 233,836
  4. Step 4: Simplify right side
    106,550x = 54,679,274,896
  5. Step 5: Solve for x
    x = 54,679,274,896/106,550
  6. Step 6: Final answer
    x = 513,179.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.