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Finding the Third Proportional to 149,336 and 223,644

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Solution

The third proportional to 149,336 and 223,644 is: 334,926.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,336 : 223,644 = 223,644 : x
  2. Step 2: Convert to fraction form
    149,336/223,644 = 223,644/x
  3. Step 3: Cross multiply
    149,336x = 223,644 × 223,644
  4. Step 4: Simplify right side
    149,336x = 50,016,638,736
  5. Step 5: Solve for x
    x = 50,016,638,736/149,336
  6. Step 6: Final answer
    x = 334,926.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.