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Finding the Third Proportional to 144,105.75 and 230,211.75

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Solution

The third proportional to 144,105.75 and 230,211.75 is: 367,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,105.75 : 230,211.75 = 230,211.75 : x
  2. Step 2: Convert to fraction form
    144,105.75/230,211.75 = 230,211.75/x
  3. Step 3: Cross multiply
    144,105.75x = 230,211.75 × 230,211.75
  4. Step 4: Simplify right side
    144,105.75x = 52,997,449,838.06
  5. Step 5: Solve for x
    x = 52,997,449,838.06/144,105.75
  6. Step 6: Final answer
    x = 367,767.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.