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Finding the Third Proportional to 163,772 and 347,226

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Solution

The third proportional to 163,772 and 347,226 is: 736,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,772 : 347,226 = 347,226 : x
  2. Step 2: Convert to fraction form
    163,772/347,226 = 347,226/x
  3. Step 3: Cross multiply
    163,772x = 347,226 × 347,226
  4. Step 4: Simplify right side
    163,772x = 120,565,895,076
  5. Step 5: Solve for x
    x = 120,565,895,076/163,772
  6. Step 6: Final answer
    x = 736,181.37

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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.