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Finding the Third Proportional to 150,064 and 228,908

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Solution

The third proportional to 150,064 and 228,908 is: 349,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,064 : 228,908 = 228,908 : x
  2. Step 2: Convert to fraction form
    150,064/228,908 = 228,908/x
  3. Step 3: Cross multiply
    150,064x = 228,908 × 228,908
  4. Step 4: Simplify right side
    150,064x = 52,398,872,464
  5. Step 5: Solve for x
    x = 52,398,872,464/150,064
  6. Step 6: Final answer
    x = 349,176.83

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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.