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Finding the Third Proportional to 161,650 and 349,112

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Solution

The third proportional to 161,650 and 349,112 is: 753,969.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,650 : 349,112 = 349,112 : x
  2. Step 2: Convert to fraction form
    161,650/349,112 = 349,112/x
  3. Step 3: Cross multiply
    161,650x = 349,112 × 349,112
  4. Step 4: Simplify right side
    161,650x = 121,879,188,544
  5. Step 5: Solve for x
    x = 121,879,188,544/161,650
  6. Step 6: Final answer
    x = 753,969.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.