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Finding the Third Proportional to 161,084 and 349,852

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Solution

The third proportional to 161,084 and 349,852 is: 759,829.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,084 : 349,852 = 349,852 : x
  2. Step 2: Convert to fraction form
    161,084/349,852 = 349,852/x
  3. Step 3: Cross multiply
    161,084x = 349,852 × 349,852
  4. Step 4: Simplify right side
    161,084x = 122,396,421,904
  5. Step 5: Solve for x
    x = 122,396,421,904/161,084
  6. Step 6: Final answer
    x = 759,829.79

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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.