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Finding the Third Proportional to 98,327.25 and 210,674.25

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Solution

The third proportional to 98,327.25 and 210,674.25 is: 451,386.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,327.25 : 210,674.25 = 210,674.25 : x
  2. Step 2: Convert to fraction form
    98,327.25/210,674.25 = 210,674.25/x
  3. Step 3: Cross multiply
    98,327.25x = 210,674.25 × 210,674.25
  4. Step 4: Simplify right side
    98,327.25x = 44,383,639,613.06
  5. Step 5: Solve for x
    x = 44,383,639,613.06/98,327.25
  6. Step 6: Final answer
    x = 451,386.97

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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.