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Finding the Third Proportional to 188,912 and 294,852

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Solution

The third proportional to 188,912 and 294,852 is: 460,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,912 : 294,852 = 294,852 : x
  2. Step 2: Convert to fraction form
    188,912/294,852 = 294,852/x
  3. Step 3: Cross multiply
    188,912x = 294,852 × 294,852
  4. Step 4: Simplify right side
    188,912x = 86,937,701,904
  5. Step 5: Solve for x
    x = 86,937,701,904/188,912
  6. Step 6: Final answer
    x = 460,202.11

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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.