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Finding the Third Proportional to 118,038 and 255,763

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Solution

The third proportional to 118,038 and 255,763 is: 554,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,038 : 255,763 = 255,763 : x
  2. Step 2: Convert to fraction form
    118,038/255,763 = 255,763/x
  3. Step 3: Cross multiply
    118,038x = 255,763 × 255,763
  4. Step 4: Simplify right side
    118,038x = 65,414,712,169
  5. Step 5: Solve for x
    x = 65,414,712,169/118,038
  6. Step 6: Final answer
    x = 554,183.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.