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Finding the Third Proportional to 219,176 and 330,024

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Solution

The third proportional to 219,176 and 330,024 is: 496,933.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,176 : 330,024 = 330,024 : x
  2. Step 2: Convert to fraction form
    219,176/330,024 = 330,024/x
  3. Step 3: Cross multiply
    219,176x = 330,024 × 330,024
  4. Step 4: Simplify right side
    219,176x = 108,915,840,576
  5. Step 5: Solve for x
    x = 108,915,840,576/219,176
  6. Step 6: Final answer
    x = 496,933.24

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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.