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Finding the Third Proportional to 202,107 and 428,855

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Solution

The third proportional to 202,107 and 428,855 is: 909,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,107 : 428,855 = 428,855 : x
  2. Step 2: Convert to fraction form
    202,107/428,855 = 428,855/x
  3. Step 3: Cross multiply
    202,107x = 428,855 × 428,855
  4. Step 4: Simplify right side
    202,107x = 183,916,611,025
  5. Step 5: Solve for x
    x = 183,916,611,025/202,107
  6. Step 6: Final answer
    x = 909,996.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.