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Finding the Third Proportional to 134,745 and 211,371

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Solution

The third proportional to 134,745 and 211,371 is: 331,572.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,745 : 211,371 = 211,371 : x
  2. Step 2: Convert to fraction form
    134,745/211,371 = 211,371/x
  3. Step 3: Cross multiply
    134,745x = 211,371 × 211,371
  4. Step 4: Simplify right side
    134,745x = 44,677,699,641
  5. Step 5: Solve for x
    x = 44,677,699,641/134,745
  6. Step 6: Final answer
    x = 331,572.23

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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.