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Finding the Third Proportional to 133,058 and 296,148

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Solution

The third proportional to 133,058 and 296,148 is: 659,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,058 : 296,148 = 296,148 : x
  2. Step 2: Convert to fraction form
    133,058/296,148 = 296,148/x
  3. Step 3: Cross multiply
    133,058x = 296,148 × 296,148
  4. Step 4: Simplify right side
    133,058x = 87,703,637,904
  5. Step 5: Solve for x
    x = 87,703,637,904/133,058
  6. Step 6: Final answer
    x = 659,138.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.