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Finding the Third Proportional to 155,267 and 334,318

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Solution

The third proportional to 155,267 and 334,318 is: 719,847.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,267 : 334,318 = 334,318 : x
  2. Step 2: Convert to fraction form
    155,267/334,318 = 334,318/x
  3. Step 3: Cross multiply
    155,267x = 334,318 × 334,318
  4. Step 4: Simplify right side
    155,267x = 111,768,525,124
  5. Step 5: Solve for x
    x = 111,768,525,124/155,267
  6. Step 6: Final answer
    x = 719,847.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.