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Finding the Third Proportional to 145,768 and 303,968

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Solution

The third proportional to 145,768 and 303,968 is: 633,860.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,768 : 303,968 = 303,968 : x
  2. Step 2: Convert to fraction form
    145,768/303,968 = 303,968/x
  3. Step 3: Cross multiply
    145,768x = 303,968 × 303,968
  4. Step 4: Simplify right side
    145,768x = 92,396,545,024
  5. Step 5: Solve for x
    x = 92,396,545,024/145,768
  6. Step 6: Final answer
    x = 633,860.28

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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.