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Finding the Third Proportional to 228,313.50 and 363,613.50

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Solution

The third proportional to 228,313.50 and 363,613.50 is: 579,093.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,313.50 : 363,613.50 = 363,613.50 : x
  2. Step 2: Convert to fraction form
    228,313.50/363,613.50 = 363,613.50/x
  3. Step 3: Cross multiply
    228,313.50x = 363,613.50 × 363,613.50
  4. Step 4: Simplify right side
    228,313.50x = 132,214,777,382.25
  5. Step 5: Solve for x
    x = 132,214,777,382.25/228,313.50
  6. Step 6: Final answer
    x = 579,093.12

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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.