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Finding the Third Proportional to 201,147 and 418,829

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Solution

The third proportional to 201,147 and 418,829 is: 872,087.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,147 : 418,829 = 418,829 : x
  2. Step 2: Convert to fraction form
    201,147/418,829 = 418,829/x
  3. Step 3: Cross multiply
    201,147x = 418,829 × 418,829
  4. Step 4: Simplify right side
    201,147x = 175,417,731,241
  5. Step 5: Solve for x
    x = 175,417,731,241/201,147
  6. Step 6: Final answer
    x = 872,087.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.