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Finding the Third Proportional to 154,048 and 330,224

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Solution

The third proportional to 154,048 and 330,224 is: 707,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,048 : 330,224 = 330,224 : x
  2. Step 2: Convert to fraction form
    154,048/330,224 = 330,224/x
  3. Step 3: Cross multiply
    154,048x = 330,224 × 330,224
  4. Step 4: Simplify right side
    154,048x = 109,047,890,176
  5. Step 5: Solve for x
    x = 109,047,890,176/154,048
  6. Step 6: Final answer
    x = 707,882.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.