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Finding the Third Proportional to 280,690.50 and 309,805.50

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Solution

The third proportional to 280,690.50 and 309,805.50 is: 341,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,690.50 : 309,805.50 = 309,805.50 : x
  2. Step 2: Convert to fraction form
    280,690.50/309,805.50 = 309,805.50/x
  3. Step 3: Cross multiply
    280,690.50x = 309,805.50 × 309,805.50
  4. Step 4: Simplify right side
    280,690.50x = 95,979,447,830.25
  5. Step 5: Solve for x
    x = 95,979,447,830.25/280,690.50
  6. Step 6: Final answer
    x = 341,940.49

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.