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Finding the Third Proportional to 116,741 and 182,402

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Solution

The third proportional to 116,741 and 182,402 is: 284,994.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,741 : 182,402 = 182,402 : x
  2. Step 2: Convert to fraction form
    116,741/182,402 = 182,402/x
  3. Step 3: Cross multiply
    116,741x = 182,402 × 182,402
  4. Step 4: Simplify right side
    116,741x = 33,270,489,604
  5. Step 5: Solve for x
    x = 33,270,489,604/116,741
  6. Step 6: Final answer
    x = 284,994.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.