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Finding the Third Proportional to 210,882.38 and 326,627.25

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Solution

The third proportional to 210,882.38 and 326,627.25 is: 505,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,882.38 : 326,627.25 = 326,627.25 : x
  2. Step 2: Convert to fraction form
    210,882.38/326,627.25 = 326,627.25/x
  3. Step 3: Cross multiply
    210,882.38x = 326,627.25 × 326,627.25
  4. Step 4: Simplify right side
    210,882.38x = 106,685,360,442.56
  5. Step 5: Solve for x
    x = 106,685,360,442.56/210,882.38
  6. Step 6: Final answer
    x = 505,899.84

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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.