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Finding the Third Proportional to 234,096 and 334,539

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Solution

The third proportional to 234,096 and 334,539 is: 478,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,096 : 334,539 = 334,539 : x
  2. Step 2: Convert to fraction form
    234,096/334,539 = 334,539/x
  3. Step 3: Cross multiply
    234,096x = 334,539 × 334,539
  4. Step 4: Simplify right side
    234,096x = 111,916,342,521
  5. Step 5: Solve for x
    x = 111,916,342,521/234,096
  6. Step 6: Final answer
    x = 478,078.83

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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.