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Finding the Third Proportional to 133,944 and 294,672

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Solution

The third proportional to 133,944 and 294,672 is: 648,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,944 : 294,672 = 294,672 : x
  2. Step 2: Convert to fraction form
    133,944/294,672 = 294,672/x
  3. Step 3: Cross multiply
    133,944x = 294,672 × 294,672
  4. Step 4: Simplify right side
    133,944x = 86,831,587,584
  5. Step 5: Solve for x
    x = 86,831,587,584/133,944
  6. Step 6: Final answer
    x = 648,267.84

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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.