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Finding the Third Proportional to 161,442 and 330,012

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Solution

The third proportional to 161,442 and 330,012 is: 674,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,442 : 330,012 = 330,012 : x
  2. Step 2: Convert to fraction form
    161,442/330,012 = 330,012/x
  3. Step 3: Cross multiply
    161,442x = 330,012 × 330,012
  4. Step 4: Simplify right side
    161,442x = 108,907,920,144
  5. Step 5: Solve for x
    x = 108,907,920,144/161,442
  6. Step 6: Final answer
    x = 674,594.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.