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Finding the Third Proportional to 210,204 and 325,633

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Solution

The third proportional to 210,204 and 325,633 is: 504,447.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,204 : 325,633 = 325,633 : x
  2. Step 2: Convert to fraction form
    210,204/325,633 = 325,633/x
  3. Step 3: Cross multiply
    210,204x = 325,633 × 325,633
  4. Step 4: Simplify right side
    210,204x = 106,036,850,689
  5. Step 5: Solve for x
    x = 106,036,850,689/210,204
  6. Step 6: Final answer
    x = 504,447.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.