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Finding the Third Proportional to 175,549 and 264,873

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Solution

The third proportional to 175,549 and 264,873 is: 399,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,549 : 264,873 = 264,873 : x
  2. Step 2: Convert to fraction form
    175,549/264,873 = 264,873/x
  3. Step 3: Cross multiply
    175,549x = 264,873 × 264,873
  4. Step 4: Simplify right side
    175,549x = 70,157,706,129
  5. Step 5: Solve for x
    x = 70,157,706,129/175,549
  6. Step 6: Final answer
    x = 399,647.43

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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.