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Finding the Third Proportional to 202,166 and 433,857

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Solution

The third proportional to 202,166 and 433,857 is: 931,075.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,166 : 433,857 = 433,857 : x
  2. Step 2: Convert to fraction form
    202,166/433,857 = 433,857/x
  3. Step 3: Cross multiply
    202,166x = 433,857 × 433,857
  4. Step 4: Simplify right side
    202,166x = 188,231,896,449
  5. Step 5: Solve for x
    x = 188,231,896,449/202,166
  6. Step 6: Final answer
    x = 931,075.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.