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Finding the Third Proportional to 147,764.25 and 234,016.59

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Solution

The third proportional to 147,764.25 and 234,016.59 is: 370,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,764.25 : 234,016.59 = 234,016.59 : x
  2. Step 2: Convert to fraction form
    147,764.25/234,016.59 = 234,016.59/x
  3. Step 3: Cross multiply
    147,764.25x = 234,016.59 × 234,016.59
  4. Step 4: Simplify right side
    147,764.25x = 54,763,766,150.35
  5. Step 5: Solve for x
    x = 54,763,766,150.35/147,764.25
  6. Step 6: Final answer
    x = 370,615.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.