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Finding the Third Proportional to 161,008 and 349,669

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Solution

The third proportional to 161,008 and 349,669 is: 759,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,008 : 349,669 = 349,669 : x
  2. Step 2: Convert to fraction form
    161,008/349,669 = 349,669/x
  3. Step 3: Cross multiply
    161,008x = 349,669 × 349,669
  4. Step 4: Simplify right side
    161,008x = 122,268,409,561
  5. Step 5: Solve for x
    x = 122,268,409,561/161,008
  6. Step 6: Final answer
    x = 759,393.38

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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.