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Finding the Third Proportional to 161,012 and 349,684

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Solution

The third proportional to 161,012 and 349,684 is: 759,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,012 : 349,684 = 349,684 : x
  2. Step 2: Convert to fraction form
    161,012/349,684 = 349,684/x
  3. Step 3: Cross multiply
    161,012x = 349,684 × 349,684
  4. Step 4: Simplify right side
    161,012x = 122,278,899,856
  5. Step 5: Solve for x
    x = 122,278,899,856/161,012
  6. Step 6: Final answer
    x = 759,439.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.