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Finding the Third Proportional to 201,146 and 418,827

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Solution

The third proportional to 201,146 and 418,827 is: 872,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146 : 418,827 = 418,827 : x
  2. Step 2: Convert to fraction form
    201,146/418,827 = 418,827/x
  3. Step 3: Cross multiply
    201,146x = 418,827 × 418,827
  4. Step 4: Simplify right side
    201,146x = 175,416,055,929
  5. Step 5: Solve for x
    x = 175,416,055,929/201,146
  6. Step 6: Final answer
    x = 872,083.24

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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.