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Finding the Third Proportional to 149,543 and 213,298

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Solution

The third proportional to 149,543 and 213,298 is: 304,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,543 : 213,298 = 213,298 : x
  2. Step 2: Convert to fraction form
    149,543/213,298 = 213,298/x
  3. Step 3: Cross multiply
    149,543x = 213,298 × 213,298
  4. Step 4: Simplify right side
    149,543x = 45,496,036,804
  5. Step 5: Solve for x
    x = 45,496,036,804/149,543
  6. Step 6: Final answer
    x = 304,233.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.