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Finding the Third Proportional to 140,728 and 308,804

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Solution

The third proportional to 140,728 and 308,804 is: 677,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,728 : 308,804 = 308,804 : x
  2. Step 2: Convert to fraction form
    140,728/308,804 = 308,804/x
  3. Step 3: Cross multiply
    140,728x = 308,804 × 308,804
  4. Step 4: Simplify right side
    140,728x = 95,359,910,416
  5. Step 5: Solve for x
    x = 95,359,910,416/140,728
  6. Step 6: Final answer
    x = 677,618.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.