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Finding the Third Proportional to 217,135.50 and 335,546

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Solution

The third proportional to 217,135.50 and 335,546 is: 518,529.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,135.50 : 335,546 = 335,546 : x
  2. Step 2: Convert to fraction form
    217,135.50/335,546 = 335,546/x
  3. Step 3: Cross multiply
    217,135.50x = 335,546 × 335,546
  4. Step 4: Simplify right side
    217,135.50x = 112,591,118,116
  5. Step 5: Solve for x
    x = 112,591,118,116/217,135.50
  6. Step 6: Final answer
    x = 518,529.30

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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.