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Finding the Third Proportional to 144,967 and 294,031

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Solution

The third proportional to 144,967 and 294,031 is: 596,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,967 : 294,031 = 294,031 : x
  2. Step 2: Convert to fraction form
    144,967/294,031 = 294,031/x
  3. Step 3: Cross multiply
    144,967x = 294,031 × 294,031
  4. Step 4: Simplify right side
    144,967x = 86,454,228,961
  5. Step 5: Solve for x
    x = 86,454,228,961/144,967
  6. Step 6: Final answer
    x = 596,371.79

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.