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Finding the Third Proportional to 134,798.25 and 211,440.38

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Solution

The third proportional to 134,798.25 and 211,440.38 is: 331,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,798.25 : 211,440.38 = 211,440.38 : x
  2. Step 2: Convert to fraction form
    134,798.25/211,440.38 = 211,440.38/x
  3. Step 3: Cross multiply
    134,798.25x = 211,440.38 × 211,440.38
  4. Step 4: Simplify right side
    134,798.25x = 44,707,032,180.14
  5. Step 5: Solve for x
    x = 44,707,032,180.14/134,798.25
  6. Step 6: Final answer
    x = 331,658.85

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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.