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Finding the Third Proportional to 233,917.88 and 352,539.84

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Solution

The third proportional to 233,917.88 and 352,539.84 is: 531,316.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,917.88 : 352,539.84 = 352,539.84 : x
  2. Step 2: Convert to fraction form
    233,917.88/352,539.84 = 352,539.84/x
  3. Step 3: Cross multiply
    233,917.88x = 352,539.84 × 352,539.84
  4. Step 4: Simplify right side
    233,917.88x = 124,284,341,431.27
  5. Step 5: Solve for x
    x = 124,284,341,431.27/233,917.88
  6. Step 6: Final answer
    x = 531,316.14

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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.