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Finding the Third Proportional to 168,301 and 362,846

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Solution

The third proportional to 168,301 and 362,846 is: 782,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,301 : 362,846 = 362,846 : x
  2. Step 2: Convert to fraction form
    168,301/362,846 = 362,846/x
  3. Step 3: Cross multiply
    168,301x = 362,846 × 362,846
  4. Step 4: Simplify right side
    168,301x = 131,657,219,716
  5. Step 5: Solve for x
    x = 131,657,219,716/168,301
  6. Step 6: Final answer
    x = 782,272.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.