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Finding the Third Proportional to 114,181 and 252,842

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Solution

The third proportional to 114,181 and 252,842 is: 559,892.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,181 : 252,842 = 252,842 : x
  2. Step 2: Convert to fraction form
    114,181/252,842 = 252,842/x
  3. Step 3: Cross multiply
    114,181x = 252,842 × 252,842
  4. Step 4: Simplify right side
    114,181x = 63,929,076,964
  5. Step 5: Solve for x
    x = 63,929,076,964/114,181
  6. Step 6: Final answer
    x = 559,892.42

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.