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Finding the Third Proportional to 149,808 and 321,648

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Solution

The third proportional to 149,808 and 321,648 is: 690,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,808 : 321,648 = 321,648 : x
  2. Step 2: Convert to fraction form
    149,808/321,648 = 321,648/x
  3. Step 3: Cross multiply
    149,808x = 321,648 × 321,648
  4. Step 4: Simplify right side
    149,808x = 103,457,435,904
  5. Step 5: Solve for x
    x = 103,457,435,904/149,808
  6. Step 6: Final answer
    x = 690,600.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.