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Finding the Third Proportional to 133,942 and 294,668

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Solution

The third proportional to 133,942 and 294,668 is: 648,259.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,942 : 294,668 = 294,668 : x
  2. Step 2: Convert to fraction form
    133,942/294,668 = 294,668/x
  3. Step 3: Cross multiply
    133,942x = 294,668 × 294,668
  4. Step 4: Simplify right side
    133,942x = 86,829,230,224
  5. Step 5: Solve for x
    x = 86,829,230,224/133,942
  6. Step 6: Final answer
    x = 648,259.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.