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Finding the Third Proportional to 115,064.25 and 238,116.75

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Solution

The third proportional to 115,064.25 and 238,116.75 is: 492,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,064.25 : 238,116.75 = 238,116.75 : x
  2. Step 2: Convert to fraction form
    115,064.25/238,116.75 = 238,116.75/x
  3. Step 3: Cross multiply
    115,064.25x = 238,116.75 × 238,116.75
  4. Step 4: Simplify right side
    115,064.25x = 56,699,586,630.56
  5. Step 5: Solve for x
    x = 56,699,586,630.56/115,064.25
  6. Step 6: Final answer
    x = 492,764.58

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.