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Finding the Third Proportional to 149,024 and 225,462

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Solution

The third proportional to 149,024 and 225,462 is: 341,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,024 : 225,462 = 225,462 : x
  2. Step 2: Convert to fraction form
    149,024/225,462 = 225,462/x
  3. Step 3: Cross multiply
    149,024x = 225,462 × 225,462
  4. Step 4: Simplify right side
    149,024x = 50,833,113,444
  5. Step 5: Solve for x
    x = 50,833,113,444/149,024
  6. Step 6: Final answer
    x = 341,106.89

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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.