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Finding the Third Proportional to 116,478 and 252,732

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Solution

The third proportional to 116,478 and 252,732 is: 548,373.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,478 : 252,732 = 252,732 : x
  2. Step 2: Convert to fraction form
    116,478/252,732 = 252,732/x
  3. Step 3: Cross multiply
    116,478x = 252,732 × 252,732
  4. Step 4: Simplify right side
    116,478x = 63,873,463,824
  5. Step 5: Solve for x
    x = 63,873,463,824/116,478
  6. Step 6: Final answer
    x = 548,373.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.