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Finding the Third Proportional to 207,987.75 and 297,219.25

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Solution

The third proportional to 207,987.75 and 297,219.25 is: 424,733.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,987.75 : 297,219.25 = 297,219.25 : x
  2. Step 2: Convert to fraction form
    207,987.75/297,219.25 = 297,219.25/x
  3. Step 3: Cross multiply
    207,987.75x = 297,219.25 × 297,219.25
  4. Step 4: Simplify right side
    207,987.75x = 88,339,282,570.56
  5. Step 5: Solve for x
    x = 88,339,282,570.56/207,987.75
  6. Step 6: Final answer
    x = 424,733.10

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.