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Finding the Third Proportional to 149,050 and 225,502

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Solution

The third proportional to 149,050 and 225,502 is: 341,168.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,050 : 225,502 = 225,502 : x
  2. Step 2: Convert to fraction form
    149,050/225,502 = 225,502/x
  3. Step 3: Cross multiply
    149,050x = 225,502 × 225,502
  4. Step 4: Simplify right side
    149,050x = 50,851,152,004
  5. Step 5: Solve for x
    x = 50,851,152,004/149,050
  6. Step 6: Final answer
    x = 341,168.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.