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Finding the Third Proportional to 184,302 and 293,058

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Solution

The third proportional to 184,302 and 293,058 is: 465,990.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,302 : 293,058 = 293,058 : x
  2. Step 2: Convert to fraction form
    184,302/293,058 = 293,058/x
  3. Step 3: Cross multiply
    184,302x = 293,058 × 293,058
  4. Step 4: Simplify right side
    184,302x = 85,882,991,364
  5. Step 5: Solve for x
    x = 85,882,991,364/184,302
  6. Step 6: Final answer
    x = 465,990.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.