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Finding the Third Proportional to 98,504 and 211,024

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Solution

The third proportional to 98,504 and 211,024 is: 452,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,504 : 211,024 = 211,024 : x
  2. Step 2: Convert to fraction form
    98,504/211,024 = 211,024/x
  3. Step 3: Cross multiply
    98,504x = 211,024 × 211,024
  4. Step 4: Simplify right side
    98,504x = 44,531,128,576
  5. Step 5: Solve for x
    x = 44,531,128,576/98,504
  6. Step 6: Final answer
    x = 452,074.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.