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Finding the Third Proportional to 175,542 and 264,859

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Solution

The third proportional to 175,542 and 264,859 is: 399,621.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,542 : 264,859 = 264,859 : x
  2. Step 2: Convert to fraction form
    175,542/264,859 = 264,859/x
  3. Step 3: Cross multiply
    175,542x = 264,859 × 264,859
  4. Step 4: Simplify right side
    175,542x = 70,150,289,881
  5. Step 5: Solve for x
    x = 70,150,289,881/175,542
  6. Step 6: Final answer
    x = 399,621.12

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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.