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Finding the Third Proportional to 210,832.13 and 326,100.38

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Solution

The third proportional to 210,832.13 and 326,100.38 is: 504,389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,832.13 : 326,100.38 = 326,100.38 : x
  2. Step 2: Convert to fraction form
    210,832.13/326,100.38 = 326,100.38/x
  3. Step 3: Cross multiply
    210,832.13x = 326,100.38 × 326,100.38
  4. Step 4: Simplify right side
    210,832.13x = 106,341,454,575.14
  5. Step 5: Solve for x
    x = 106,341,454,575.14/210,832.13
  6. Step 6: Final answer
    x = 504,389.24

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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.