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Finding the Third Proportional to 293,984 and 440,166

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Solution

The third proportional to 293,984 and 440,166 is: 659,036.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,984 : 440,166 = 440,166 : x
  2. Step 2: Convert to fraction form
    293,984/440,166 = 440,166/x
  3. Step 3: Cross multiply
    293,984x = 440,166 × 440,166
  4. Step 4: Simplify right side
    293,984x = 193,746,107,556
  5. Step 5: Solve for x
    x = 193,746,107,556/293,984
  6. Step 6: Final answer
    x = 659,036.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.