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Finding the Third Proportional to 206,415 and 452,169

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Solution

The third proportional to 206,415 and 452,169 is: 990,513.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,415 : 452,169 = 452,169 : x
  2. Step 2: Convert to fraction form
    206,415/452,169 = 452,169/x
  3. Step 3: Cross multiply
    206,415x = 452,169 × 452,169
  4. Step 4: Simplify right side
    206,415x = 204,456,804,561
  5. Step 5: Solve for x
    x = 204,456,804,561/206,415
  6. Step 6: Final answer
    x = 990,513.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.