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Finding the Third Proportional to 118,840 and 255,536

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Solution

The third proportional to 118,840 and 255,536 is: 549,466.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,840 : 255,536 = 255,536 : x
  2. Step 2: Convert to fraction form
    118,840/255,536 = 255,536/x
  3. Step 3: Cross multiply
    118,840x = 255,536 × 255,536
  4. Step 4: Simplify right side
    118,840x = 65,298,647,296
  5. Step 5: Solve for x
    x = 65,298,647,296/118,840
  6. Step 6: Final answer
    x = 549,466.91

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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.