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Finding the Third Proportional to 146,900 and 213,438

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Solution

The third proportional to 146,900 and 213,438 is: 310,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,900 : 213,438 = 213,438 : x
  2. Step 2: Convert to fraction form
    146,900/213,438 = 213,438/x
  3. Step 3: Cross multiply
    146,900x = 213,438 × 213,438
  4. Step 4: Simplify right side
    146,900x = 45,555,779,844
  5. Step 5: Solve for x
    x = 45,555,779,844/146,900
  6. Step 6: Final answer
    x = 310,114.23

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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.