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Finding the Third Proportional to 116,488 and 273,832

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Solution

The third proportional to 116,488 and 273,832 is: 643,705.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,488 : 273,832 = 273,832 : x
  2. Step 2: Convert to fraction form
    116,488/273,832 = 273,832/x
  3. Step 3: Cross multiply
    116,488x = 273,832 × 273,832
  4. Step 4: Simplify right side
    116,488x = 74,983,964,224
  5. Step 5: Solve for x
    x = 74,983,964,224/116,488
  6. Step 6: Final answer
    x = 643,705.48

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.