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Finding the Third Proportional to 262,252.69 and 391,761.56

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Solution

The third proportional to 262,252.69 and 391,761.56 is: 585,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,252.69 : 391,761.56 = 391,761.56 : x
  2. Step 2: Convert to fraction form
    262,252.69/391,761.56 = 391,761.56/x
  3. Step 3: Cross multiply
    262,252.69x = 391,761.56 × 391,761.56
  4. Step 4: Simplify right side
    262,252.69x = 153,477,121,852.44
  5. Step 5: Solve for x
    x = 153,477,121,852.44/262,252.69
  6. Step 6: Final answer
    x = 585,226.12

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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.