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Finding the Third Proportional to 207,636.75 and 451,288.13

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Solution

The third proportional to 207,636.75 and 451,288.13 is: 980,852.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,636.75 : 451,288.13 = 451,288.13 : x
  2. Step 2: Convert to fraction form
    207,636.75/451,288.13 = 451,288.13/x
  3. Step 3: Cross multiply
    207,636.75x = 451,288.13 × 451,288.13
  4. Step 4: Simplify right side
    207,636.75x = 203,660,971,766.02
  5. Step 5: Solve for x
    x = 203,660,971,766.02/207,636.75
  6. Step 6: Final answer
    x = 980,852.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.