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Finding the Third Proportional to 201,146.63 and 418,827.38

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Solution

The third proportional to 201,146.63 and 418,827.38 is: 872,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,146.63 : 418,827.38 = 418,827.38 : x
  2. Step 2: Convert to fraction form
    201,146.63/418,827.38 = 418,827.38/x
  3. Step 3: Cross multiply
    201,146.63x = 418,827.38 × 418,827.38
  4. Step 4: Simplify right side
    201,146.63x = 175,416,370,049.39
  5. Step 5: Solve for x
    x = 175,416,370,049.39/201,146.63
  6. Step 6: Final answer
    x = 872,082.09

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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.