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Finding the Third Proportional to 234,006 and 334,396.50

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Solution

The third proportional to 234,006 and 334,396.50 is: 477,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,006 : 334,396.50 = 334,396.50 : x
  2. Step 2: Convert to fraction form
    234,006/334,396.50 = 334,396.50/x
  3. Step 3: Cross multiply
    234,006x = 334,396.50 × 334,396.50
  4. Step 4: Simplify right side
    234,006x = 111,821,019,212.25
  5. Step 5: Solve for x
    x = 111,821,019,212.25/234,006
  6. Step 6: Final answer
    x = 477,855.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.