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Finding the Third Proportional to 188,355 and 284,452.50

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Solution

The third proportional to 188,355 and 284,452.50 is: 429,578.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,355 : 284,452.50 = 284,452.50 : x
  2. Step 2: Convert to fraction form
    188,355/284,452.50 = 284,452.50/x
  3. Step 3: Cross multiply
    188,355x = 284,452.50 × 284,452.50
  4. Step 4: Simplify right side
    188,355x = 80,913,224,756.25
  5. Step 5: Solve for x
    x = 80,913,224,756.25/188,355
  6. Step 6: Final answer
    x = 429,578.32

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