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Finding the Third Proportional to 147,804.75 and 335,066.63

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Solution

The third proportional to 147,804.75 and 335,066.63 is: 759,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,804.75 : 335,066.63 = 335,066.63 : x
  2. Step 2: Convert to fraction form
    147,804.75/335,066.63 = 335,066.63/x
  3. Step 3: Cross multiply
    147,804.75x = 335,066.63 × 335,066.63
  4. Step 4: Simplify right side
    147,804.75x = 112,269,643,188.89
  5. Step 5: Solve for x
    x = 112,269,643,188.89/147,804.75
  6. Step 6: Final answer
    x = 759,580.75

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