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Finding the Third Proportional to 241,651.69 and 355,078.69

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Solution

The third proportional to 241,651.69 and 355,078.69 is: 521,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,651.69 : 355,078.69 = 355,078.69 : x
  2. Step 2: Convert to fraction form
    241,651.69/355,078.69 = 355,078.69/x
  3. Step 3: Cross multiply
    241,651.69x = 355,078.69 × 355,078.69
  4. Step 4: Simplify right side
    241,651.69x = 126,080,874,316.72
  5. Step 5: Solve for x
    x = 126,080,874,316.72/241,651.69
  6. Step 6: Final answer
    x = 521,746.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.