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Finding the Third Proportional to 158,684 and 217,592

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Solution

The third proportional to 158,684 and 217,592 is: 298,368.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,684 : 217,592 = 217,592 : x
  2. Step 2: Convert to fraction form
    158,684/217,592 = 217,592/x
  3. Step 3: Cross multiply
    158,684x = 217,592 × 217,592
  4. Step 4: Simplify right side
    158,684x = 47,346,278,464
  5. Step 5: Solve for x
    x = 47,346,278,464/158,684
  6. Step 6: Final answer
    x = 298,368.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.