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Finding the Third Proportional to 210,168 and 491,616

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Solution

The third proportional to 210,168 and 491,616 is: 1,149,967.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,168 : 491,616 = 491,616 : x
  2. Step 2: Convert to fraction form
    210,168/491,616 = 491,616/x
  3. Step 3: Cross multiply
    210,168x = 491,616 × 491,616
  4. Step 4: Simplify right side
    210,168x = 241,686,291,456
  5. Step 5: Solve for x
    x = 241,686,291,456/210,168
  6. Step 6: Final answer
    x = 1,149,967.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.