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Finding the Third Proportional to 144,080 and 211,449

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Solution

The third proportional to 144,080 and 211,449 is: 310,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,080 : 211,449 = 211,449 : x
  2. Step 2: Convert to fraction form
    144,080/211,449 = 211,449/x
  3. Step 3: Cross multiply
    144,080x = 211,449 × 211,449
  4. Step 4: Simplify right side
    144,080x = 44,710,679,601
  5. Step 5: Solve for x
    x = 44,710,679,601/144,080
  6. Step 6: Final answer
    x = 310,318.43

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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.