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Finding the Third Proportional to 272,816.86 and 367,009.73

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Solution

The third proportional to 272,816.86 and 367,009.73 is: 493,723.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,816.86 : 367,009.73 = 367,009.73 : x
  2. Step 2: Convert to fraction form
    272,816.86/367,009.73 = 367,009.73/x
  3. Step 3: Cross multiply
    272,816.86x = 367,009.73 × 367,009.73
  4. Step 4: Simplify right side
    272,816.86x = 134,696,145,126.01
  5. Step 5: Solve for x
    x = 134,696,145,126.01/272,816.86
  6. Step 6: Final answer
    x = 493,723.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.