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Finding the Third Proportional to 119,280.38 and 182,741.63

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Solution

The third proportional to 119,280.38 and 182,741.63 is: 279,966.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,280.38 : 182,741.63 = 182,741.63 : x
  2. Step 2: Convert to fraction form
    119,280.38/182,741.63 = 182,741.63/x
  3. Step 3: Cross multiply
    119,280.38x = 182,741.63 × 182,741.63
  4. Step 4: Simplify right side
    119,280.38x = 33,394,501,507.64
  5. Step 5: Solve for x
    x = 33,394,501,507.64/119,280.38
  6. Step 6: Final answer
    x = 279,966.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.