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Finding the Third Proportional to 231,733.50 and 368,749.50

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Solution

The third proportional to 231,733.50 and 368,749.50 is: 586,778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,733.50 : 368,749.50 = 368,749.50 : x
  2. Step 2: Convert to fraction form
    231,733.50/368,749.50 = 368,749.50/x
  3. Step 3: Cross multiply
    231,733.50x = 368,749.50 × 368,749.50
  4. Step 4: Simplify right side
    231,733.50x = 135,976,193,750.25
  5. Step 5: Solve for x
    x = 135,976,193,750.25/231,733.50
  6. Step 6: Final answer
    x = 586,778.32

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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.