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Finding the Third Proportional to 182,999.25 and 377,298

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Solution

The third proportional to 182,999.25 and 377,298 is: 777,892.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,999.25 : 377,298 = 377,298 : x
  2. Step 2: Convert to fraction form
    182,999.25/377,298 = 377,298/x
  3. Step 3: Cross multiply
    182,999.25x = 377,298 × 377,298
  4. Step 4: Simplify right side
    182,999.25x = 142,353,780,804
  5. Step 5: Solve for x
    x = 142,353,780,804/182,999.25
  6. Step 6: Final answer
    x = 777,892.70

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.