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Finding the Third Proportional to 236.50 and 508.63

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Solution

The third proportional to 236.50 and 508.63 is: 1,093.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.50 : 508.63 = 508.63 : x
  2. Step 2: Convert to fraction form
    236.50/508.63 = 508.63/x
  3. Step 3: Cross multiply
    236.50x = 508.63 × 508.63
  4. Step 4: Simplify right side
    236.50x = 258,699.39
  5. Step 5: Solve for x
    x = 258,699.39/236.50
  6. Step 6: Final answer
    x = 1,093.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.