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Finding the Third Proportional to 192,964 and 291,462

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Solution

The third proportional to 192,964 and 291,462 is: 440,238.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,964 : 291,462 = 291,462 : x
  2. Step 2: Convert to fraction form
    192,964/291,462 = 291,462/x
  3. Step 3: Cross multiply
    192,964x = 291,462 × 291,462
  4. Step 4: Simplify right side
    192,964x = 84,950,097,444
  5. Step 5: Solve for x
    x = 84,950,097,444/192,964
  6. Step 6: Final answer
    x = 440,238.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.