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Finding the Third Proportional to 227,277.14 and 347,835.52

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Solution

The third proportional to 227,277.14 and 347,835.52 is: 532,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,277.14 : 347,835.52 = 347,835.52 : x
  2. Step 2: Convert to fraction form
    227,277.14/347,835.52 = 347,835.52/x
  3. Step 3: Cross multiply
    227,277.14x = 347,835.52 × 347,835.52
  4. Step 4: Simplify right side
    227,277.14x = 120,989,545,930.11
  5. Step 5: Solve for x
    x = 120,989,545,930.11/227,277.14
  6. Step 6: Final answer
    x = 532,343.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.