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Finding the Third Proportional to 128,496 and 303,745

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Solution

The third proportional to 128,496 and 303,745 is: 718,006.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,496 : 303,745 = 303,745 : x
  2. Step 2: Convert to fraction form
    128,496/303,745 = 303,745/x
  3. Step 3: Cross multiply
    128,496x = 303,745 × 303,745
  4. Step 4: Simplify right side
    128,496x = 92,261,025,025
  5. Step 5: Solve for x
    x = 92,261,025,025/128,496
  6. Step 6: Final answer
    x = 718,006.98

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.