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Finding the Third Proportional to 149,362 and 322,573

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Solution

The third proportional to 149,362 and 322,573 is: 696,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,362 : 322,573 = 322,573 : x
  2. Step 2: Convert to fraction form
    149,362/322,573 = 322,573/x
  3. Step 3: Cross multiply
    149,362x = 322,573 × 322,573
  4. Step 4: Simplify right side
    149,362x = 104,053,340,329
  5. Step 5: Solve for x
    x = 104,053,340,329/149,362
  6. Step 6: Final answer
    x = 696,652.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.