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Finding the Third Proportional to 118,260 and 262,763

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Solution

The third proportional to 118,260 and 262,763 is: 583,835.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,260 : 262,763 = 262,763 : x
  2. Step 2: Convert to fraction form
    118,260/262,763 = 262,763/x
  3. Step 3: Cross multiply
    118,260x = 262,763 × 262,763
  4. Step 4: Simplify right side
    118,260x = 69,044,394,169
  5. Step 5: Solve for x
    x = 69,044,394,169/118,260
  6. Step 6: Final answer
    x = 583,835.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.