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Finding the Third Proportional to 163,774 and 347,231

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Solution

The third proportional to 163,774 and 347,231 is: 736,193.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,774 : 347,231 = 347,231 : x
  2. Step 2: Convert to fraction form
    163,774/347,231 = 347,231/x
  3. Step 3: Cross multiply
    163,774x = 347,231 × 347,231
  4. Step 4: Simplify right side
    163,774x = 120,569,367,361
  5. Step 5: Solve for x
    x = 120,569,367,361/163,774
  6. Step 6: Final answer
    x = 736,193.58

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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.