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Finding the Third Proportional to 114,962 and 243,796

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Solution

The third proportional to 114,962 and 243,796 is: 517,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,962 : 243,796 = 243,796 : x
  2. Step 2: Convert to fraction form
    114,962/243,796 = 243,796/x
  3. Step 3: Cross multiply
    114,962x = 243,796 × 243,796
  4. Step 4: Simplify right side
    114,962x = 59,436,489,616
  5. Step 5: Solve for x
    x = 59,436,489,616/114,962
  6. Step 6: Final answer
    x = 517,009.88

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.