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Finding the Third Proportional to 149,022 and 225,459

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Solution

The third proportional to 149,022 and 225,459 is: 341,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,022 : 225,459 = 225,459 : x
  2. Step 2: Convert to fraction form
    149,022/225,459 = 225,459/x
  3. Step 3: Cross multiply
    149,022x = 225,459 × 225,459
  4. Step 4: Simplify right side
    149,022x = 50,831,760,681
  5. Step 5: Solve for x
    x = 50,831,760,681/149,022
  6. Step 6: Final answer
    x = 341,102.39

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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.