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Finding the Third Proportional to 232,443 and 509,105.25

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Solution

The third proportional to 232,443 and 509,105.25 is: 1,115,061.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,443 : 509,105.25 = 509,105.25 : x
  2. Step 2: Convert to fraction form
    232,443/509,105.25 = 509,105.25/x
  3. Step 3: Cross multiply
    232,443x = 509,105.25 × 509,105.25
  4. Step 4: Simplify right side
    232,443x = 259,188,155,577.56
  5. Step 5: Solve for x
    x = 259,188,155,577.56/232,443
  6. Step 6: Final answer
    x = 1,115,061.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.