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Finding the Third Proportional to 149,056 and 225,510

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Solution

The third proportional to 149,056 and 225,510 is: 341,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,056 : 225,510 = 225,510 : x
  2. Step 2: Convert to fraction form
    149,056/225,510 = 225,510/x
  3. Step 3: Cross multiply
    149,056x = 225,510 × 225,510
  4. Step 4: Simplify right side
    149,056x = 50,854,760,100
  5. Step 5: Solve for x
    x = 50,854,760,100/149,056
  6. Step 6: Final answer
    x = 341,178.89

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