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Finding the Third Proportional to 118,310.25 and 256,582.31

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Solution

The third proportional to 118,310.25 and 256,582.31 is: 556,456.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,310.25 : 256,582.31 = 256,582.31 : x
  2. Step 2: Convert to fraction form
    118,310.25/256,582.31 = 256,582.31/x
  3. Step 3: Cross multiply
    118,310.25x = 256,582.31 × 256,582.31
  4. Step 4: Simplify right side
    118,310.25x = 65,834,483,087.85
  5. Step 5: Solve for x
    x = 65,834,483,087.85/118,310.25
  6. Step 6: Final answer
    x = 556,456.29

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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.