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Finding the Third Proportional to 146,702 and 213,133

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Solution

The third proportional to 146,702 and 213,133 is: 309,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,702 : 213,133 = 213,133 : x
  2. Step 2: Convert to fraction form
    146,702/213,133 = 213,133/x
  3. Step 3: Cross multiply
    146,702x = 213,133 × 213,133
  4. Step 4: Simplify right side
    146,702x = 45,425,675,689
  5. Step 5: Solve for x
    x = 45,425,675,689/146,702
  6. Step 6: Final answer
    x = 309,645.92

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.