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Finding the Third Proportional to 188,898 and 294,828

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Solution

The third proportional to 188,898 and 294,828 is: 460,161.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,898 : 294,828 = 294,828 : x
  2. Step 2: Convert to fraction form
    188,898/294,828 = 294,828/x
  3. Step 3: Cross multiply
    188,898x = 294,828 × 294,828
  4. Step 4: Simplify right side
    188,898x = 86,923,549,584
  5. Step 5: Solve for x
    x = 86,923,549,584/188,898
  6. Step 6: Final answer
    x = 460,161.30

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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.