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Finding the Third Proportional to 149,728 and 220,210

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Solution

The third proportional to 149,728 and 220,210 is: 323,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,728 : 220,210 = 220,210 : x
  2. Step 2: Convert to fraction form
    149,728/220,210 = 220,210/x
  3. Step 3: Cross multiply
    149,728x = 220,210 × 220,210
  4. Step 4: Simplify right side
    149,728x = 48,492,444,100
  5. Step 5: Solve for x
    x = 48,492,444,100/149,728
  6. Step 6: Final answer
    x = 323,870.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.