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Finding the Third Proportional to 207,499.50 and 426,303

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Solution

The third proportional to 207,499.50 and 426,303 is: 875,829.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,499.50 : 426,303 = 426,303 : x
  2. Step 2: Convert to fraction form
    207,499.50/426,303 = 426,303/x
  3. Step 3: Cross multiply
    207,499.50x = 426,303 × 426,303
  4. Step 4: Simplify right side
    207,499.50x = 181,734,247,809
  5. Step 5: Solve for x
    x = 181,734,247,809/207,499.50
  6. Step 6: Final answer
    x = 875,829.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.