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Finding the Third Proportional to 201,162.38 and 418,690.97

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Solution

The third proportional to 201,162.38 and 418,690.97 is: 871,445.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,162.38 : 418,690.97 = 418,690.97 : x
  2. Step 2: Convert to fraction form
    201,162.38/418,690.97 = 418,690.97/x
  3. Step 3: Cross multiply
    201,162.38x = 418,690.97 × 418,690.97
  4. Step 4: Simplify right side
    201,162.38x = 175,302,127,312.81
  5. Step 5: Solve for x
    x = 175,302,127,312.81/201,162.38
  6. Step 6: Final answer
    x = 871,445.90

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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.