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Finding the Third Proportional to 118,828.69 and 264,223.69

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Solution

The third proportional to 118,828.69 and 264,223.69 is: 587,519.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,828.69 : 264,223.69 = 264,223.69 : x
  2. Step 2: Convert to fraction form
    118,828.69/264,223.69 = 264,223.69/x
  3. Step 3: Cross multiply
    118,828.69x = 264,223.69 × 264,223.69
  4. Step 4: Simplify right side
    118,828.69x = 69,814,157,036.10
  5. Step 5: Solve for x
    x = 69,814,157,036.10/118,828.69
  6. Step 6: Final answer
    x = 587,519.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.