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Finding the Third Proportional to 145,236 and 303,774

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Solution

The third proportional to 145,236 and 303,774 is: 635,370.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,236 : 303,774 = 303,774 : x
  2. Step 2: Convert to fraction form
    145,236/303,774 = 303,774/x
  3. Step 3: Cross multiply
    145,236x = 303,774 × 303,774
  4. Step 4: Simplify right side
    145,236x = 92,278,643,076
  5. Step 5: Solve for x
    x = 92,278,643,076/145,236
  6. Step 6: Final answer
    x = 635,370.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.