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Finding the Third Proportional to 188,647 and 282,971

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Solution

The third proportional to 188,647 and 282,971 is: 424,457.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,647 : 282,971 = 282,971 : x
  2. Step 2: Convert to fraction form
    188,647/282,971 = 282,971/x
  3. Step 3: Cross multiply
    188,647x = 282,971 × 282,971
  4. Step 4: Simplify right side
    188,647x = 80,072,586,841
  5. Step 5: Solve for x
    x = 80,072,586,841/188,647
  6. Step 6: Final answer
    x = 424,457.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.