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Finding the Third Proportional to 188,728 and 294,576

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Solution

The third proportional to 188,728 and 294,576 is: 459,788.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,728 : 294,576 = 294,576 : x
  2. Step 2: Convert to fraction form
    188,728/294,576 = 294,576/x
  3. Step 3: Cross multiply
    188,728x = 294,576 × 294,576
  4. Step 4: Simplify right side
    188,728x = 86,775,019,776
  5. Step 5: Solve for x
    x = 86,775,019,776/188,728
  6. Step 6: Final answer
    x = 459,788.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.