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Finding the Third Proportional to 145,832 and 308,998

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Solution

The third proportional to 145,832 and 308,998 is: 654,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,832 : 308,998 = 308,998 : x
  2. Step 2: Convert to fraction form
    145,832/308,998 = 308,998/x
  3. Step 3: Cross multiply
    145,832x = 308,998 × 308,998
  4. Step 4: Simplify right side
    145,832x = 95,479,764,004
  5. Step 5: Solve for x
    x = 95,479,764,004/145,832
  6. Step 6: Final answer
    x = 654,724.37

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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.