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Finding the Third Proportional to 188,645 and 282,968

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Solution

The third proportional to 188,645 and 282,968 is: 424,452.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,645 : 282,968 = 282,968 : x
  2. Step 2: Convert to fraction form
    188,645/282,968 = 282,968/x
  3. Step 3: Cross multiply
    188,645x = 282,968 × 282,968
  4. Step 4: Simplify right side
    188,645x = 80,070,889,024
  5. Step 5: Solve for x
    x = 80,070,889,024/188,645
  6. Step 6: Final answer
    x = 424,452.75

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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.