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Finding the Third Proportional to 251,835.75 and 545,859

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Solution

The third proportional to 251,835.75 and 545,859 is: 1,183,160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,835.75 : 545,859 = 545,859 : x
  2. Step 2: Convert to fraction form
    251,835.75/545,859 = 545,859/x
  3. Step 3: Cross multiply
    251,835.75x = 545,859 × 545,859
  4. Step 4: Simplify right side
    251,835.75x = 297,962,047,881
  5. Step 5: Solve for x
    x = 297,962,047,881/251,835.75
  6. Step 6: Final answer
    x = 1,183,160.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.