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Finding the Third Proportional to 154,176 and 336,576

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Solution

The third proportional to 154,176 and 336,576 is: 734,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,176 : 336,576 = 336,576 : x
  2. Step 2: Convert to fraction form
    154,176/336,576 = 336,576/x
  3. Step 3: Cross multiply
    154,176x = 336,576 × 336,576
  4. Step 4: Simplify right side
    154,176x = 113,283,403,776
  5. Step 5: Solve for x
    x = 113,283,403,776/154,176
  6. Step 6: Final answer
    x = 734,766.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.