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Finding the Third Proportional to 147,816 and 335,091.75

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Solution

The third proportional to 147,816 and 335,091.75 is: 759,636.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,816 : 335,091.75 = 335,091.75 : x
  2. Step 2: Convert to fraction form
    147,816/335,091.75 = 335,091.75/x
  3. Step 3: Cross multiply
    147,816x = 335,091.75 × 335,091.75
  4. Step 4: Simplify right side
    147,816x = 112,286,480,918.06
  5. Step 5: Solve for x
    x = 112,286,480,918.06/147,816
  6. Step 6: Final answer
    x = 759,636.85

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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.