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Finding the Third Proportional to 134,847 and 211,527

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Solution

The third proportional to 134,847 and 211,527 is: 331,810.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,847 : 211,527 = 211,527 : x
  2. Step 2: Convert to fraction form
    134,847/211,527 = 211,527/x
  3. Step 3: Cross multiply
    134,847x = 211,527 × 211,527
  4. Step 4: Simplify right side
    134,847x = 44,743,671,729
  5. Step 5: Solve for x
    x = 44,743,671,729/134,847
  6. Step 6: Final answer
    x = 331,810.66

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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.