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Finding the Third Proportional to 149,501 and 228,923

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Solution

The third proportional to 149,501 and 228,923 is: 350,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,501 : 228,923 = 228,923 : x
  2. Step 2: Convert to fraction form
    149,501/228,923 = 228,923/x
  3. Step 3: Cross multiply
    149,501x = 228,923 × 228,923
  4. Step 4: Simplify right side
    149,501x = 52,405,739,929
  5. Step 5: Solve for x
    x = 52,405,739,929/149,501
  6. Step 6: Final answer
    x = 350,537.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.