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Finding the Third Proportional to 201,146 and 418,826

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Solution

The third proportional to 201,146 and 418,826 is: 872,079.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146 : 418,826 = 418,826 : x
  2. Step 2: Convert to fraction form
    201,146/418,826 = 418,826/x
  3. Step 3: Cross multiply
    201,146x = 418,826 × 418,826
  4. Step 4: Simplify right side
    201,146x = 175,415,218,276
  5. Step 5: Solve for x
    x = 175,415,218,276/201,146
  6. Step 6: Final answer
    x = 872,079.08

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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.