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Finding the Third Proportional to 149,262.75 and 223,347.38

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Solution

The third proportional to 149,262.75 and 223,347.38 is: 334,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,262.75 : 223,347.38 = 223,347.38 : x
  2. Step 2: Convert to fraction form
    149,262.75/223,347.38 = 223,347.38/x
  3. Step 3: Cross multiply
    149,262.75x = 223,347.38 × 223,347.38
  4. Step 4: Simplify right side
    149,262.75x = 49,884,049,919.39
  5. Step 5: Solve for x
    x = 49,884,049,919.39/149,262.75
  6. Step 6: Final answer
    x = 334,202.94

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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.