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Finding the Third Proportional to 209,242.50 and 455,850.75

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Solution

The third proportional to 209,242.50 and 455,850.75 is: 993,105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,242.50 : 455,850.75 = 455,850.75 : x
  2. Step 2: Convert to fraction form
    209,242.50/455,850.75 = 455,850.75/x
  3. Step 3: Cross multiply
    209,242.50x = 455,850.75 × 455,850.75
  4. Step 4: Simplify right side
    209,242.50x = 207,799,906,275.56
  5. Step 5: Solve for x
    x = 207,799,906,275.56/209,242.50
  6. Step 6: Final answer
    x = 993,105.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.