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Finding the Third Proportional to 118,016 and 254,816

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Solution

The third proportional to 118,016 and 254,816 is: 550,189.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,016 : 254,816 = 254,816 : x
  2. Step 2: Convert to fraction form
    118,016/254,816 = 254,816/x
  3. Step 3: Cross multiply
    118,016x = 254,816 × 254,816
  4. Step 4: Simplify right side
    118,016x = 64,931,193,856
  5. Step 5: Solve for x
    x = 64,931,193,856/118,016
  6. Step 6: Final answer
    x = 550,189.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.