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Finding the Third Proportional to 188,384 and 282,580

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Solution

The third proportional to 188,384 and 282,580 is: 423,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,384 : 282,580 = 282,580 : x
  2. Step 2: Convert to fraction form
    188,384/282,580 = 282,580/x
  3. Step 3: Cross multiply
    188,384x = 282,580 × 282,580
  4. Step 4: Simplify right side
    188,384x = 79,851,456,400
  5. Step 5: Solve for x
    x = 79,851,456,400/188,384
  6. Step 6: Final answer
    x = 423,876.00

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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.