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Finding the Third Proportional to 227,346.75 and 347,925.38

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Solution

The third proportional to 227,346.75 and 347,925.38 is: 532,455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,346.75 : 347,925.38 = 347,925.38 : x
  2. Step 2: Convert to fraction form
    227,346.75/347,925.38 = 347,925.38/x
  3. Step 3: Cross multiply
    227,346.75x = 347,925.38 × 347,925.38
  4. Step 4: Simplify right side
    227,346.75x = 121,052,066,568.89
  5. Step 5: Solve for x
    x = 121,052,066,568.89/227,346.75
  6. Step 6: Final answer
    x = 532,455.67

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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.