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Finding the Third Proportional to 213,168 and 433,656

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Solution

The third proportional to 213,168 and 433,656 is: 882,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,168 : 433,656 = 433,656 : x
  2. Step 2: Convert to fraction form
    213,168/433,656 = 433,656/x
  3. Step 3: Cross multiply
    213,168x = 433,656 × 433,656
  4. Step 4: Simplify right side
    213,168x = 188,057,526,336
  5. Step 5: Solve for x
    x = 188,057,526,336/213,168
  6. Step 6: Final answer
    x = 882,203.36

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.