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Finding the Third Proportional to 210,171 and 323,052

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Solution

The third proportional to 210,171 and 323,052 is: 496,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,171 : 323,052 = 323,052 : x
  2. Step 2: Convert to fraction form
    210,171/323,052 = 323,052/x
  3. Step 3: Cross multiply
    210,171x = 323,052 × 323,052
  4. Step 4: Simplify right side
    210,171x = 104,362,594,704
  5. Step 5: Solve for x
    x = 104,362,594,704/210,171
  6. Step 6: Final answer
    x = 496,560.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.