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Finding the Third Proportional to 143,024 and 322,512

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Solution

The third proportional to 143,024 and 322,512 is: 727,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,024 : 322,512 = 322,512 : x
  2. Step 2: Convert to fraction form
    143,024/322,512 = 322,512/x
  3. Step 3: Cross multiply
    143,024x = 322,512 × 322,512
  4. Step 4: Simplify right side
    143,024x = 104,013,990,144
  5. Step 5: Solve for x
    x = 104,013,990,144/143,024
  6. Step 6: Final answer
    x = 727,248.50

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.