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Finding the Third Proportional to 273,375 and 384,800.63

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Solution

The third proportional to 273,375 and 384,800.63 is: 541,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,375 : 384,800.63 = 384,800.63 : x
  2. Step 2: Convert to fraction form
    273,375/384,800.63 = 384,800.63/x
  3. Step 3: Cross multiply
    273,375x = 384,800.63 × 384,800.63
  4. Step 4: Simplify right side
    273,375x = 148,071,521,000.39
  5. Step 5: Solve for x
    x = 148,071,521,000.39/273,375
  6. Step 6: Final answer
    x = 541,642.51

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.