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Finding the Third Proportional to 149,503 and 228,926

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Solution

The third proportional to 149,503 and 228,926 is: 350,542.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,503 : 228,926 = 228,926 : x
  2. Step 2: Convert to fraction form
    149,503/228,926 = 228,926/x
  3. Step 3: Cross multiply
    149,503x = 228,926 × 228,926
  4. Step 4: Simplify right side
    149,503x = 52,407,113,476
  5. Step 5: Solve for x
    x = 52,407,113,476/149,503
  6. Step 6: Final answer
    x = 350,542.22

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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.