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Finding the Third Proportional to 230,769 and 365,917.50

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Solution

The third proportional to 230,769 and 365,917.50 is: 580,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,769 : 365,917.50 = 365,917.50 : x
  2. Step 2: Convert to fraction form
    230,769/365,917.50 = 365,917.50/x
  3. Step 3: Cross multiply
    230,769x = 365,917.50 × 365,917.50
  4. Step 4: Simplify right side
    230,769x = 133,895,616,806.25
  5. Step 5: Solve for x
    x = 133,895,616,806.25/230,769
  6. Step 6: Final answer
    x = 580,214.92

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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.