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Finding the Third Proportional to 163,773 and 347,230

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Solution

The third proportional to 163,773 and 347,230 is: 736,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,773 : 347,230 = 347,230 : x
  2. Step 2: Convert to fraction form
    163,773/347,230 = 347,230/x
  3. Step 3: Cross multiply
    163,773x = 347,230 × 347,230
  4. Step 4: Simplify right side
    163,773x = 120,568,672,900
  5. Step 5: Solve for x
    x = 120,568,672,900/163,773
  6. Step 6: Final answer
    x = 736,193.83

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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.