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Finding the Third Proportional to 146,334 and 213,909

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Solution

The third proportional to 146,334 and 213,909 is: 312,689.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,334 : 213,909 = 213,909 : x
  2. Step 2: Convert to fraction form
    146,334/213,909 = 213,909/x
  3. Step 3: Cross multiply
    146,334x = 213,909 × 213,909
  4. Step 4: Simplify right side
    146,334x = 45,757,060,281
  5. Step 5: Solve for x
    x = 45,757,060,281/146,334
  6. Step 6: Final answer
    x = 312,689.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.