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Finding the Third Proportional to 118,228 and 255,212

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Solution

The third proportional to 118,228 and 255,212 is: 550,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,228 : 255,212 = 255,212 : x
  2. Step 2: Convert to fraction form
    118,228/255,212 = 255,212/x
  3. Step 3: Cross multiply
    118,228x = 255,212 × 255,212
  4. Step 4: Simplify right side
    118,228x = 65,133,164,944
  5. Step 5: Solve for x
    x = 65,133,164,944/118,228
  6. Step 6: Final answer
    x = 550,911.50

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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.