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Finding the Third Proportional to 116,838 and 252,072

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Solution

The third proportional to 116,838 and 252,072 is: 543,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,838 : 252,072 = 252,072 : x
  2. Step 2: Convert to fraction form
    116,838/252,072 = 252,072/x
  3. Step 3: Cross multiply
    116,838x = 252,072 × 252,072
  4. Step 4: Simplify right side
    116,838x = 63,540,293,184
  5. Step 5: Solve for x
    x = 63,540,293,184/116,838
  6. Step 6: Final answer
    x = 543,832.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.