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Finding the Third Proportional to 238,768.38 and 361,227.09

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Solution

The third proportional to 238,768.38 and 361,227.09 is: 546,492.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,768.38 : 361,227.09 = 361,227.09 : x
  2. Step 2: Convert to fraction form
    238,768.38/361,227.09 = 361,227.09/x
  3. Step 3: Cross multiply
    238,768.38x = 361,227.09 × 361,227.09
  4. Step 4: Simplify right side
    238,768.38x = 130,485,013,259.07
  5. Step 5: Solve for x
    x = 130,485,013,259.07/238,768.38
  6. Step 6: Final answer
    x = 546,492.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.