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Finding the Third Proportional to 116,648 and 241,072

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Solution

The third proportional to 116,648 and 241,072 is: 498,214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,648 : 241,072 = 241,072 : x
  2. Step 2: Convert to fraction form
    116,648/241,072 = 241,072/x
  3. Step 3: Cross multiply
    116,648x = 241,072 × 241,072
  4. Step 4: Simplify right side
    116,648x = 58,115,709,184
  5. Step 5: Solve for x
    x = 58,115,709,184/116,648
  6. Step 6: Final answer
    x = 498,214.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.