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Finding the Third Proportional to 118,255 and 254,006

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Solution

The third proportional to 118,255 and 254,006 is: 545,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,255 : 254,006 = 254,006 : x
  2. Step 2: Convert to fraction form
    118,255/254,006 = 254,006/x
  3. Step 3: Cross multiply
    118,255x = 254,006 × 254,006
  4. Step 4: Simplify right side
    118,255x = 64,519,048,036
  5. Step 5: Solve for x
    x = 64,519,048,036/118,255
  6. Step 6: Final answer
    x = 545,592.56

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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.