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Finding the Third Proportional to 144,444 and 211,313

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Solution

The third proportional to 144,444 and 211,313 is: 309,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,444 : 211,313 = 211,313 : x
  2. Step 2: Convert to fraction form
    144,444/211,313 = 211,313/x
  3. Step 3: Cross multiply
    144,444x = 211,313 × 211,313
  4. Step 4: Simplify right side
    144,444x = 44,653,183,969
  5. Step 5: Solve for x
    x = 44,653,183,969/144,444
  6. Step 6: Final answer
    x = 309,138.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.