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Finding the Third Proportional to 231,529.50 and 347,841

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Solution

The third proportional to 231,529.50 and 347,841 is: 522,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,529.50 : 347,841 = 347,841 : x
  2. Step 2: Convert to fraction form
    231,529.50/347,841 = 347,841/x
  3. Step 3: Cross multiply
    231,529.50x = 347,841 × 347,841
  4. Step 4: Simplify right side
    231,529.50x = 120,993,361,281
  5. Step 5: Solve for x
    x = 120,993,361,281/231,529.50
  6. Step 6: Final answer
    x = 522,582.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.