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Finding the Third Proportional to 210,830 and 326,099

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Solution

The third proportional to 210,830 and 326,099 is: 504,390.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,830 : 326,099 = 326,099 : x
  2. Step 2: Convert to fraction form
    210,830/326,099 = 326,099/x
  3. Step 3: Cross multiply
    210,830x = 326,099 × 326,099
  4. Step 4: Simplify right side
    210,830x = 106,340,557,801
  5. Step 5: Solve for x
    x = 106,340,557,801/210,830
  6. Step 6: Final answer
    x = 504,390.07

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