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Finding the Third Proportional to 144,833.06 and 302,904.56

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Solution

The third proportional to 144,833.06 and 302,904.56 is: 633,496.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,833.06 : 302,904.56 = 302,904.56 : x
  2. Step 2: Convert to fraction form
    144,833.06/302,904.56 = 302,904.56/x
  3. Step 3: Cross multiply
    144,833.06x = 302,904.56 × 302,904.56
  4. Step 4: Simplify right side
    144,833.06x = 91,751,173,983.32
  5. Step 5: Solve for x
    x = 91,751,173,983.32/144,833.06
  6. Step 6: Final answer
    x = 633,496.06

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.