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Finding the Third Proportional to 210,206 and 325,636

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Solution

The third proportional to 210,206 and 325,636 is: 504,451.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,206 : 325,636 = 325,636 : x
  2. Step 2: Convert to fraction form
    210,206/325,636 = 325,636/x
  3. Step 3: Cross multiply
    210,206x = 325,636 × 325,636
  4. Step 4: Simplify right side
    210,206x = 106,038,804,496
  5. Step 5: Solve for x
    x = 106,038,804,496/210,206
  6. Step 6: Final answer
    x = 504,451.84

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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.