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Finding the Third Proportional to 140,454 and 303,628

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Solution

The third proportional to 140,454 and 303,628 is: 656,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,454 : 303,628 = 303,628 : x
  2. Step 2: Convert to fraction form
    140,454/303,628 = 303,628/x
  3. Step 3: Cross multiply
    140,454x = 303,628 × 303,628
  4. Step 4: Simplify right side
    140,454x = 92,189,962,384
  5. Step 5: Solve for x
    x = 92,189,962,384/140,454
  6. Step 6: Final answer
    x = 656,371.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.