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Finding the Third Proportional to 209,089.50 and 315,578.25

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Solution

The third proportional to 209,089.50 and 315,578.25 is: 476,301.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,089.50 : 315,578.25 = 315,578.25 : x
  2. Step 2: Convert to fraction form
    209,089.50/315,578.25 = 315,578.25/x
  3. Step 3: Cross multiply
    209,089.50x = 315,578.25 × 315,578.25
  4. Step 4: Simplify right side
    209,089.50x = 99,589,631,873.06
  5. Step 5: Solve for x
    x = 99,589,631,873.06/209,089.50
  6. Step 6: Final answer
    x = 476,301.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.