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Finding the Third Proportional to 133,412 and 294,828

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Solution

The third proportional to 133,412 and 294,828 is: 651,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,412 : 294,828 = 294,828 : x
  2. Step 2: Convert to fraction form
    133,412/294,828 = 294,828/x
  3. Step 3: Cross multiply
    133,412x = 294,828 × 294,828
  4. Step 4: Simplify right side
    133,412x = 86,923,549,584
  5. Step 5: Solve for x
    x = 86,923,549,584/133,412
  6. Step 6: Final answer
    x = 651,542.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.