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Finding the Third Proportional to 163,176 and 345,927

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Solution

The third proportional to 163,176 and 345,927 is: 733,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,176 : 345,927 = 345,927 : x
  2. Step 2: Convert to fraction form
    163,176/345,927 = 345,927/x
  3. Step 3: Cross multiply
    163,176x = 345,927 × 345,927
  4. Step 4: Simplify right side
    163,176x = 119,665,489,329
  5. Step 5: Solve for x
    x = 119,665,489,329/163,176
  6. Step 6: Final answer
    x = 733,352.27

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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.