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Finding the Third Proportional to 193,242 and 413,022

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Solution

The third proportional to 193,242 and 413,022 is: 882,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,242 : 413,022 = 413,022 : x
  2. Step 2: Convert to fraction form
    193,242/413,022 = 413,022/x
  3. Step 3: Cross multiply
    193,242x = 413,022 × 413,022
  4. Step 4: Simplify right side
    193,242x = 170,587,172,484
  5. Step 5: Solve for x
    x = 170,587,172,484/193,242
  6. Step 6: Final answer
    x = 882,764.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.