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Finding the Third Proportional to 144,071.75 and 211,433.44

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Solution

The third proportional to 144,071.75 and 211,433.44 is: 310,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,071.75 : 211,433.44 = 211,433.44 : x
  2. Step 2: Convert to fraction form
    144,071.75/211,433.44 = 211,433.44/x
  3. Step 3: Cross multiply
    144,071.75x = 211,433.44 × 211,433.44
  4. Step 4: Simplify right side
    144,071.75x = 44,704,098,493.07
  5. Step 5: Solve for x
    x = 44,704,098,493.07/144,071.75
  6. Step 6: Final answer
    x = 310,290.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.