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Finding the Third Proportional to 174,752.44 and 382,213.69

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Solution

The third proportional to 174,752.44 and 382,213.69 is: 835,967.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,752.44 : 382,213.69 = 382,213.69 : x
  2. Step 2: Convert to fraction form
    174,752.44/382,213.69 = 382,213.69/x
  3. Step 3: Cross multiply
    174,752.44x = 382,213.69 × 382,213.69
  4. Step 4: Simplify right side
    174,752.44x = 146,087,302,912.35
  5. Step 5: Solve for x
    x = 146,087,302,912.35/174,752.44
  6. Step 6: Final answer
    x = 835,967.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.