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Finding the Third Proportional to 155,104 and 334,968

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Solution

The third proportional to 155,104 and 334,968 is: 723,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,104 : 334,968 = 334,968 : x
  2. Step 2: Convert to fraction form
    155,104/334,968 = 334,968/x
  3. Step 3: Cross multiply
    155,104x = 334,968 × 334,968
  4. Step 4: Simplify right side
    155,104x = 112,203,561,024
  5. Step 5: Solve for x
    x = 112,203,561,024/155,104
  6. Step 6: Final answer
    x = 723,408.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.