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Finding the Third Proportional to 174,746 and 263,779

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Solution

The third proportional to 174,746 and 263,779 is: 398,174.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,746 : 263,779 = 263,779 : x
  2. Step 2: Convert to fraction form
    174,746/263,779 = 263,779/x
  3. Step 3: Cross multiply
    174,746x = 263,779 × 263,779
  4. Step 4: Simplify right side
    174,746x = 69,579,360,841
  5. Step 5: Solve for x
    x = 69,579,360,841/174,746
  6. Step 6: Final answer
    x = 398,174.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.