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Finding the Third Proportional to 162,004 and 332,024

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Solution

The third proportional to 162,004 and 332,024 is: 680,476.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,004 : 332,024 = 332,024 : x
  2. Step 2: Convert to fraction form
    162,004/332,024 = 332,024/x
  3. Step 3: Cross multiply
    162,004x = 332,024 × 332,024
  4. Step 4: Simplify right side
    162,004x = 110,239,936,576
  5. Step 5: Solve for x
    x = 110,239,936,576/162,004
  6. Step 6: Final answer
    x = 680,476.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.