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Finding the Third Proportional to 331,194.50 and 525,293.50

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Solution

The third proportional to 331,194.50 and 525,293.50 is: 833,145.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,194.50 : 525,293.50 = 525,293.50 : x
  2. Step 2: Convert to fraction form
    331,194.50/525,293.50 = 525,293.50/x
  3. Step 3: Cross multiply
    331,194.50x = 525,293.50 × 525,293.50
  4. Step 4: Simplify right side
    331,194.50x = 275,933,261,142.25
  5. Step 5: Solve for x
    x = 275,933,261,142.25/331,194.50
  6. Step 6: Final answer
    x = 833,145.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.