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Finding the Third Proportional to 143,706.94 and 302,297.06

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Solution

The third proportional to 143,706.94 and 302,297.06 is: 635,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,706.94 : 302,297.06 = 302,297.06 : x
  2. Step 2: Convert to fraction form
    143,706.94/302,297.06 = 302,297.06/x
  3. Step 3: Cross multiply
    143,706.94x = 302,297.06 × 302,297.06
  4. Step 4: Simplify right side
    143,706.94x = 91,383,513,996.13
  5. Step 5: Solve for x
    x = 91,383,513,996.13/143,706.94
  6. Step 6: Final answer
    x = 635,901.90

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.