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Finding the Third Proportional to 145,816 and 303,266

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Solution

The third proportional to 145,816 and 303,266 is: 630,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,816 : 303,266 = 303,266 : x
  2. Step 2: Convert to fraction form
    145,816/303,266 = 303,266/x
  3. Step 3: Cross multiply
    145,816x = 303,266 × 303,266
  4. Step 4: Simplify right side
    145,816x = 91,970,266,756
  5. Step 5: Solve for x
    x = 91,970,266,756/145,816
  6. Step 6: Final answer
    x = 630,728.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.