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Finding the Third Proportional to 140,620 and 302,744

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Solution

The third proportional to 140,620 and 302,744 is: 651,784.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,620 : 302,744 = 302,744 : x
  2. Step 2: Convert to fraction form
    140,620/302,744 = 302,744/x
  3. Step 3: Cross multiply
    140,620x = 302,744 × 302,744
  4. Step 4: Simplify right side
    140,620x = 91,653,929,536
  5. Step 5: Solve for x
    x = 91,653,929,536/140,620
  6. Step 6: Final answer
    x = 651,784.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.