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Finding the Third Proportional to 163,779 and 347,241

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Solution

The third proportional to 163,779 and 347,241 is: 736,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,779 : 347,241 = 347,241 : x
  2. Step 2: Convert to fraction form
    163,779/347,241 = 347,241/x
  3. Step 3: Cross multiply
    163,779x = 347,241 × 347,241
  4. Step 4: Simplify right side
    163,779x = 120,576,312,081
  5. Step 5: Solve for x
    x = 120,576,312,081/163,779
  6. Step 6: Final answer
    x = 736,213.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.