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Finding the Third Proportional to 147,819 and 335,097

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Solution

The third proportional to 147,819 and 335,097 is: 759,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,819 : 335,097 = 335,097 : x
  2. Step 2: Convert to fraction form
    147,819/335,097 = 335,097/x
  3. Step 3: Cross multiply
    147,819x = 335,097 × 335,097
  4. Step 4: Simplify right side
    147,819x = 112,289,999,409
  5. Step 5: Solve for x
    x = 112,289,999,409/147,819
  6. Step 6: Final answer
    x = 759,645.24

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.