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Finding the Third Proportional to 175,256 and 262,585

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Solution

The third proportional to 175,256 and 262,585 is: 393,429.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,256 : 262,585 = 262,585 : x
  2. Step 2: Convert to fraction form
    175,256/262,585 = 262,585/x
  3. Step 3: Cross multiply
    175,256x = 262,585 × 262,585
  4. Step 4: Simplify right side
    175,256x = 68,950,882,225
  5. Step 5: Solve for x
    x = 68,950,882,225/175,256
  6. Step 6: Final answer
    x = 393,429.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.