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Finding the Third Proportional to 182,361 and 293,004

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Solution

The third proportional to 182,361 and 293,004 is: 470,776.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,361 : 293,004 = 293,004 : x
  2. Step 2: Convert to fraction form
    182,361/293,004 = 293,004/x
  3. Step 3: Cross multiply
    182,361x = 293,004 × 293,004
  4. Step 4: Simplify right side
    182,361x = 85,851,344,016
  5. Step 5: Solve for x
    x = 85,851,344,016/182,361
  6. Step 6: Final answer
    x = 470,776.89

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.