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Finding the Third Proportional to 244.22 and 508.59

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Solution

The third proportional to 244.22 and 508.59 is: 1,059.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.22 : 508.59 = 508.59 : x
  2. Step 2: Convert to fraction form
    244.22/508.59 = 508.59/x
  3. Step 3: Cross multiply
    244.22x = 508.59 × 508.59
  4. Step 4: Simplify right side
    244.22x = 258,667.60
  5. Step 5: Solve for x
    x = 258,667.60/244.22
  6. Step 6: Final answer
    x = 1,059.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.