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Finding the Third Proportional to 149,008 and 323,247

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Solution

The third proportional to 149,008 and 323,247 is: 701,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,008 : 323,247 = 323,247 : x
  2. Step 2: Convert to fraction form
    149,008/323,247 = 323,247/x
  3. Step 3: Cross multiply
    149,008x = 323,247 × 323,247
  4. Step 4: Simplify right side
    149,008x = 104,488,623,009
  5. Step 5: Solve for x
    x = 104,488,623,009/149,008
  6. Step 6: Final answer
    x = 701,228.28

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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.