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Finding the Third Proportional to 215,100 and 334,155

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Solution

The third proportional to 215,100 and 334,155 is: 519,105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,100 : 334,155 = 334,155 : x
  2. Step 2: Convert to fraction form
    215,100/334,155 = 334,155/x
  3. Step 3: Cross multiply
    215,100x = 334,155 × 334,155
  4. Step 4: Simplify right side
    215,100x = 111,659,564,025
  5. Step 5: Solve for x
    x = 111,659,564,025/215,100
  6. Step 6: Final answer
    x = 519,105.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.