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Finding the Third Proportional to 234,003 and 334,396

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Solution

The third proportional to 234,003 and 334,396 is: 477,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,003 : 334,396 = 334,396 : x
  2. Step 2: Convert to fraction form
    234,003/334,396 = 334,396/x
  3. Step 3: Cross multiply
    234,003x = 334,396 × 334,396
  4. Step 4: Simplify right side
    234,003x = 111,820,684,816
  5. Step 5: Solve for x
    x = 111,820,684,816/234,003
  6. Step 6: Final answer
    x = 477,860.05

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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.