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Finding the Third Proportional to 210,326 and 326,293

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Solution

The third proportional to 210,326 and 326,293 is: 506,200.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,326 : 326,293 = 326,293 : x
  2. Step 2: Convert to fraction form
    210,326/326,293 = 326,293/x
  3. Step 3: Cross multiply
    210,326x = 326,293 × 326,293
  4. Step 4: Simplify right side
    210,326x = 106,467,121,849
  5. Step 5: Solve for x
    x = 106,467,121,849/210,326
  6. Step 6: Final answer
    x = 506,200.48

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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.