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Finding the Third Proportional to 210,520 and 325,892

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Solution

The third proportional to 210,520 and 325,892 is: 504,491.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,520 : 325,892 = 325,892 : x
  2. Step 2: Convert to fraction form
    210,520/325,892 = 325,892/x
  3. Step 3: Cross multiply
    210,520x = 325,892 × 325,892
  4. Step 4: Simplify right side
    210,520x = 106,205,595,664
  5. Step 5: Solve for x
    x = 106,205,595,664/210,520
  6. Step 6: Final answer
    x = 504,491.71

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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.