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Finding the Third Proportional to 119,383.50 and 186,339

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Solution

The third proportional to 119,383.50 and 186,339 is: 290,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,383.50 : 186,339 = 186,339 : x
  2. Step 2: Convert to fraction form
    119,383.50/186,339 = 186,339/x
  3. Step 3: Cross multiply
    119,383.50x = 186,339 × 186,339
  4. Step 4: Simplify right side
    119,383.50x = 34,722,222,921
  5. Step 5: Solve for x
    x = 34,722,222,921/119,383.50
  6. Step 6: Final answer
    x = 290,846.08

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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.