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Finding the Third Proportional to 174,663 and 263,466

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Solution

The third proportional to 174,663 and 263,466 is: 397,418.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,663 : 263,466 = 263,466 : x
  2. Step 2: Convert to fraction form
    174,663/263,466 = 263,466/x
  3. Step 3: Cross multiply
    174,663x = 263,466 × 263,466
  4. Step 4: Simplify right side
    174,663x = 69,414,333,156
  5. Step 5: Solve for x
    x = 69,414,333,156/174,663
  6. Step 6: Final answer
    x = 397,418.65

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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.