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Finding the Third Proportional to 143,297 and 303,664

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Solution

The third proportional to 143,297 and 303,664 is: 643,501.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,297 : 303,664 = 303,664 : x
  2. Step 2: Convert to fraction form
    143,297/303,664 = 303,664/x
  3. Step 3: Cross multiply
    143,297x = 303,664 × 303,664
  4. Step 4: Simplify right side
    143,297x = 92,211,824,896
  5. Step 5: Solve for x
    x = 92,211,824,896/143,297
  6. Step 6: Final answer
    x = 643,501.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.