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Finding the Third Proportional to 134,813 and 211,464

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Solution

The third proportional to 134,813 and 211,464 is: 331,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,813 : 211,464 = 211,464 : x
  2. Step 2: Convert to fraction form
    134,813/211,464 = 211,464/x
  3. Step 3: Cross multiply
    134,813x = 211,464 × 211,464
  4. Step 4: Simplify right side
    134,813x = 44,717,023,296
  5. Step 5: Solve for x
    x = 44,717,023,296/134,813
  6. Step 6: Final answer
    x = 331,696.67

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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.