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Finding the Third Proportional to 142,674 and 303,780

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Solution

The third proportional to 142,674 and 303,780 is: 646,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,674 : 303,780 = 303,780 : x
  2. Step 2: Convert to fraction form
    142,674/303,780 = 303,780/x
  3. Step 3: Cross multiply
    142,674x = 303,780 × 303,780
  4. Step 4: Simplify right side
    142,674x = 92,282,288,400
  5. Step 5: Solve for x
    x = 92,282,288,400/142,674
  6. Step 6: Final answer
    x = 646,805.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.