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Finding the Third Proportional to 134,706.38 and 211,313.81

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Solution

The third proportional to 134,706.38 and 211,313.81 is: 331,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,706.38 : 211,313.81 = 211,313.81 : x
  2. Step 2: Convert to fraction form
    134,706.38/211,313.81 = 211,313.81/x
  3. Step 3: Cross multiply
    134,706.38x = 211,313.81 × 211,313.81
  4. Step 4: Simplify right side
    134,706.38x = 44,653,527,353.29
  5. Step 5: Solve for x
    x = 44,653,527,353.29/134,706.38
  6. Step 6: Final answer
    x = 331,487.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.