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Finding the Third Proportional to 217,081.13 and 335,467.13

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Solution

The third proportional to 217,081.13 and 335,467.13 is: 518,415.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,081.13 : 335,467.13 = 335,467.13 : x
  2. Step 2: Convert to fraction form
    217,081.13/335,467.13 = 335,467.13/x
  3. Step 3: Cross multiply
    217,081.13x = 335,467.13 × 335,467.13
  4. Step 4: Simplify right side
    217,081.13x = 112,538,191,955.77
  5. Step 5: Solve for x
    x = 112,538,191,955.77/217,081.13
  6. Step 6: Final answer
    x = 518,415.37

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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.