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Finding the Third Proportional to 161,112 and 349,904

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Solution

The third proportional to 161,112 and 349,904 is: 759,923.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,112 : 349,904 = 349,904 : x
  2. Step 2: Convert to fraction form
    161,112/349,904 = 349,904/x
  3. Step 3: Cross multiply
    161,112x = 349,904 × 349,904
  4. Step 4: Simplify right side
    161,112x = 122,432,809,216
  5. Step 5: Solve for x
    x = 122,432,809,216/161,112
  6. Step 6: Final answer
    x = 759,923.59

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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.