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Finding the Third Proportional to 175,463 and 262,025

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Solution

The third proportional to 175,463 and 262,025 is: 391,291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,463 : 262,025 = 262,025 : x
  2. Step 2: Convert to fraction form
    175,463/262,025 = 262,025/x
  3. Step 3: Cross multiply
    175,463x = 262,025 × 262,025
  4. Step 4: Simplify right side
    175,463x = 68,657,100,625
  5. Step 5: Solve for x
    x = 68,657,100,625/175,463
  6. Step 6: Final answer
    x = 391,291.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.