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Finding the Third Proportional to 114,420 and 236,796

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Solution

The third proportional to 114,420 and 236,796 is: 490,057.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,420 : 236,796 = 236,796 : x
  2. Step 2: Convert to fraction form
    114,420/236,796 = 236,796/x
  3. Step 3: Cross multiply
    114,420x = 236,796 × 236,796
  4. Step 4: Simplify right side
    114,420x = 56,072,345,616
  5. Step 5: Solve for x
    x = 56,072,345,616/114,420
  6. Step 6: Final answer
    x = 490,057.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.