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Finding the Third Proportional to 146,896 and 213,432

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Solution

The third proportional to 146,896 and 213,432 is: 310,105.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,896 : 213,432 = 213,432 : x
  2. Step 2: Convert to fraction form
    146,896/213,432 = 213,432/x
  3. Step 3: Cross multiply
    146,896x = 213,432 × 213,432
  4. Step 4: Simplify right side
    146,896x = 45,553,218,624
  5. Step 5: Solve for x
    x = 45,553,218,624/146,896
  6. Step 6: Final answer
    x = 310,105.24

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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.