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Finding the Third Proportional to 149,871 and 321,000

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Solution

The third proportional to 149,871 and 321,000 is: 687,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,871 : 321,000 = 321,000 : x
  2. Step 2: Convert to fraction form
    149,871/321,000 = 321,000/x
  3. Step 3: Cross multiply
    149,871x = 321,000 × 321,000
  4. Step 4: Simplify right side
    149,871x = 103,041,000,000
  5. Step 5: Solve for x
    x = 103,041,000,000/149,871
  6. Step 6: Final answer
    x = 687,531.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.