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Finding the Third Proportional to 233,304.75 and 352,093.50

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Solution

The third proportional to 233,304.75 and 352,093.50 is: 531,364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,304.75 : 352,093.50 = 352,093.50 : x
  2. Step 2: Convert to fraction form
    233,304.75/352,093.50 = 352,093.50/x
  3. Step 3: Cross multiply
    233,304.75x = 352,093.50 × 352,093.50
  4. Step 4: Simplify right side
    233,304.75x = 123,969,832,742.25
  5. Step 5: Solve for x
    x = 123,969,832,742.25/233,304.75
  6. Step 6: Final answer
    x = 531,364.38

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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.