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Finding the Third Proportional to 188,232 and 282,768

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Solution

The third proportional to 188,232 and 282,768 is: 424,782.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,232 : 282,768 = 282,768 : x
  2. Step 2: Convert to fraction form
    188,232/282,768 = 282,768/x
  3. Step 3: Cross multiply
    188,232x = 282,768 × 282,768
  4. Step 4: Simplify right side
    188,232x = 79,957,741,824
  5. Step 5: Solve for x
    x = 79,957,741,824/188,232
  6. Step 6: Final answer
    x = 424,782.94

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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.