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Finding the Third Proportional to 210,226 and 326,393

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Solution

The third proportional to 210,226 and 326,393 is: 506,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,226 : 326,393 = 326,393 : x
  2. Step 2: Convert to fraction form
    210,226/326,393 = 326,393/x
  3. Step 3: Cross multiply
    210,226x = 326,393 × 326,393
  4. Step 4: Simplify right side
    210,226x = 106,532,390,449
  5. Step 5: Solve for x
    x = 106,532,390,449/210,226
  6. Step 6: Final answer
    x = 506,751.74

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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.