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Finding the Third Proportional to 144,039.75 and 228,027.75

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Solution

The third proportional to 144,039.75 and 228,027.75 is: 360,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,039.75 : 228,027.75 = 228,027.75 : x
  2. Step 2: Convert to fraction form
    144,039.75/228,027.75 = 228,027.75/x
  3. Step 3: Cross multiply
    144,039.75x = 228,027.75 × 228,027.75
  4. Step 4: Simplify right side
    144,039.75x = 51,996,654,770.06
  5. Step 5: Solve for x
    x = 51,996,654,770.06/144,039.75
  6. Step 6: Final answer
    x = 360,988.23

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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.