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Finding the Third Proportional to 217,062 and 335,434

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Solution

The third proportional to 217,062 and 335,434 is: 518,358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,062 : 335,434 = 335,434 : x
  2. Step 2: Convert to fraction form
    217,062/335,434 = 335,434/x
  3. Step 3: Cross multiply
    217,062x = 335,434 × 335,434
  4. Step 4: Simplify right side
    217,062x = 112,515,968,356
  5. Step 5: Solve for x
    x = 112,515,968,356/217,062
  6. Step 6: Final answer
    x = 518,358.66

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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.