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Finding the Third Proportional to 149,434 and 322,483

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Solution

The third proportional to 149,434 and 322,483 is: 695,927.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,434 : 322,483 = 322,483 : x
  2. Step 2: Convert to fraction form
    149,434/322,483 = 322,483/x
  3. Step 3: Cross multiply
    149,434x = 322,483 × 322,483
  4. Step 4: Simplify right side
    149,434x = 103,995,285,289
  5. Step 5: Solve for x
    x = 103,995,285,289/149,434
  6. Step 6: Final answer
    x = 695,927.87

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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.