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Finding the Third Proportional to 238,146.75 and 338,509.13

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Solution

The third proportional to 238,146.75 and 338,509.13 is: 481,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,146.75 : 338,509.13 = 338,509.13 : x
  2. Step 2: Convert to fraction form
    238,146.75/338,509.13 = 338,509.13/x
  3. Step 3: Cross multiply
    238,146.75x = 338,509.13 × 338,509.13
  4. Step 4: Simplify right side
    238,146.75x = 114,588,427,708.27
  5. Step 5: Solve for x
    x = 114,588,427,708.27/238,146.75
  6. Step 6: Final answer
    x = 481,167.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.