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Finding the Third Proportional to 140,596 and 303,673

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Solution

The third proportional to 140,596 and 303,673 is: 655,902.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,596 : 303,673 = 303,673 : x
  2. Step 2: Convert to fraction form
    140,596/303,673 = 303,673/x
  3. Step 3: Cross multiply
    140,596x = 303,673 × 303,673
  4. Step 4: Simplify right side
    140,596x = 92,217,290,929
  5. Step 5: Solve for x
    x = 92,217,290,929/140,596
  6. Step 6: Final answer
    x = 655,902.66

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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.