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Finding the Third Proportional to 192,662.10 and 293,537.47

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Solution

The third proportional to 192,662.10 and 293,537.47 is: 447,229.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,662.10 : 293,537.47 = 293,537.47 : x
  2. Step 2: Convert to fraction form
    192,662.10/293,537.47 = 293,537.47/x
  3. Step 3: Cross multiply
    192,662.10x = 293,537.47 × 293,537.47
  4. Step 4: Simplify right side
    192,662.10x = 86,164,248,713.40
  5. Step 5: Solve for x
    x = 86,164,248,713.40/192,662.10
  6. Step 6: Final answer
    x = 447,229.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.