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Finding the Third Proportional to 134,741 and 211,370

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Solution

The third proportional to 134,741 and 211,370 is: 331,578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,741 : 211,370 = 211,370 : x
  2. Step 2: Convert to fraction form
    134,741/211,370 = 211,370/x
  3. Step 3: Cross multiply
    134,741x = 211,370 × 211,370
  4. Step 4: Simplify right side
    134,741x = 44,677,276,900
  5. Step 5: Solve for x
    x = 44,677,276,900/134,741
  6. Step 6: Final answer
    x = 331,578.93

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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.