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Finding the Third Proportional to 145,563 and 308,622

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Solution

The third proportional to 145,563 and 308,622 is: 654,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,563 : 308,622 = 308,622 : x
  2. Step 2: Convert to fraction form
    145,563/308,622 = 308,622/x
  3. Step 3: Cross multiply
    145,563x = 308,622 × 308,622
  4. Step 4: Simplify right side
    145,563x = 95,247,538,884
  5. Step 5: Solve for x
    x = 95,247,538,884/145,563
  6. Step 6: Final answer
    x = 654,338.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.