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Finding the Third Proportional to 150,963.75 and 356,405.06

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Solution

The third proportional to 150,963.75 and 356,405.06 is: 841,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,963.75 : 356,405.06 = 356,405.06 : x
  2. Step 2: Convert to fraction form
    150,963.75/356,405.06 = 356,405.06/x
  3. Step 3: Cross multiply
    150,963.75x = 356,405.06 × 356,405.06
  4. Step 4: Simplify right side
    150,963.75x = 127,024,568,575.63
  5. Step 5: Solve for x
    x = 127,024,568,575.63/150,963.75
  6. Step 6: Final answer
    x = 841,424.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.