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Finding the Third Proportional to 173,719.69 and 262,442.53

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Solution

The third proportional to 173,719.69 and 262,442.53 is: 396,478.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,719.69 : 262,442.53 = 262,442.53 : x
  2. Step 2: Convert to fraction form
    173,719.69/262,442.53 = 262,442.53/x
  3. Step 3: Cross multiply
    173,719.69x = 262,442.53 × 262,442.53
  4. Step 4: Simplify right side
    173,719.69x = 68,876,082,208.91
  5. Step 5: Solve for x
    x = 68,876,082,208.91/173,719.69
  6. Step 6: Final answer
    x = 396,478.28

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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.