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Finding the Third Proportional to 230,586 and 294,633

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Solution

The third proportional to 230,586 and 294,633 is: 376,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,586 : 294,633 = 294,633 : x
  2. Step 2: Convert to fraction form
    230,586/294,633 = 294,633/x
  3. Step 3: Cross multiply
    230,586x = 294,633 × 294,633
  4. Step 4: Simplify right side
    230,586x = 86,808,604,689
  5. Step 5: Solve for x
    x = 86,808,604,689/230,586
  6. Step 6: Final answer
    x = 376,469.54

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.