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Finding the Third Proportional to 209,525 and 452,250

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Solution

The third proportional to 209,525 and 452,250 is: 976,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,525 : 452,250 = 452,250 : x
  2. Step 2: Convert to fraction form
    209,525/452,250 = 452,250/x
  3. Step 3: Cross multiply
    209,525x = 452,250 × 452,250
  4. Step 4: Simplify right side
    209,525x = 204,530,062,500
  5. Step 5: Solve for x
    x = 204,530,062,500/209,525
  6. Step 6: Final answer
    x = 976,160.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.