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Finding the Third Proportional to 235.83 and 503.93

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Solution

The third proportional to 235.83 and 503.93 is: 1,076.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.83 : 503.93 = 503.93 : x
  2. Step 2: Convert to fraction form
    235.83/503.93 = 503.93/x
  3. Step 3: Cross multiply
    235.83x = 503.93 × 503.93
  4. Step 4: Simplify right side
    235.83x = 253,945.13
  5. Step 5: Solve for x
    x = 253,945.13/235.83
  6. Step 6: Final answer
    x = 1,076.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.