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Finding the Third Proportional to 181,044.75 and 273,897.38

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Solution

The third proportional to 181,044.75 and 273,897.38 is: 414,371.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,044.75 : 273,897.38 = 273,897.38 : x
  2. Step 2: Convert to fraction form
    181,044.75/273,897.38 = 273,897.38/x
  3. Step 3: Cross multiply
    181,044.75x = 273,897.38 × 273,897.38
  4. Step 4: Simplify right side
    181,044.75x = 75,019,772,031.89
  5. Step 5: Solve for x
    x = 75,019,772,031.89/181,044.75
  6. Step 6: Final answer
    x = 414,371.43

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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.