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Finding the Third Proportional to 144,610 and 296,266

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Solution

The third proportional to 144,610 and 296,266 is: 606,967.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,610 : 296,266 = 296,266 : x
  2. Step 2: Convert to fraction form
    144,610/296,266 = 296,266/x
  3. Step 3: Cross multiply
    144,610x = 296,266 × 296,266
  4. Step 4: Simplify right side
    144,610x = 87,773,542,756
  5. Step 5: Solve for x
    x = 87,773,542,756/144,610
  6. Step 6: Final answer
    x = 606,967.31

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.