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Finding the Third Proportional to 233,376.82 and 509,166.63

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Solution

The third proportional to 233,376.82 and 509,166.63 is: 1,110,867.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,376.82 : 509,166.63 = 509,166.63 : x
  2. Step 2: Convert to fraction form
    233,376.82/509,166.63 = 509,166.63/x
  3. Step 3: Cross multiply
    233,376.82x = 509,166.63 × 509,166.63
  4. Step 4: Simplify right side
    233,376.82x = 259,250,659,969.62
  5. Step 5: Solve for x
    x = 259,250,659,969.62/233,376.82
  6. Step 6: Final answer
    x = 1,110,867.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.