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Finding the Third Proportional to 118,336 and 254,716

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Solution

The third proportional to 118,336 and 254,716 is: 548,271.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,336 : 254,716 = 254,716 : x
  2. Step 2: Convert to fraction form
    118,336/254,716 = 254,716/x
  3. Step 3: Cross multiply
    118,336x = 254,716 × 254,716
  4. Step 4: Simplify right side
    118,336x = 64,880,240,656
  5. Step 5: Solve for x
    x = 64,880,240,656/118,336
  6. Step 6: Final answer
    x = 548,271.37

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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.