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Finding the Third Proportional to 133,818 and 201,861

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Solution

The third proportional to 133,818 and 201,861 is: 304,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,818 : 201,861 = 201,861 : x
  2. Step 2: Convert to fraction form
    133,818/201,861 = 201,861/x
  3. Step 3: Cross multiply
    133,818x = 201,861 × 201,861
  4. Step 4: Simplify right side
    133,818x = 40,747,863,321
  5. Step 5: Solve for x
    x = 40,747,863,321/133,818
  6. Step 6: Final answer
    x = 304,502.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.