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Finding the Third Proportional to 232.88 and 603.94

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Solution

The third proportional to 232.88 and 603.94 is: 1,566.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.88 : 603.94 = 603.94 : x
  2. Step 2: Convert to fraction form
    232.88/603.94 = 603.94/x
  3. Step 3: Cross multiply
    232.88x = 603.94 × 603.94
  4. Step 4: Simplify right side
    232.88x = 364,740.50
  5. Step 5: Solve for x
    x = 364,740.50/232.88
  6. Step 6: Final answer
    x = 1,566.25

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.