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Finding the Third Proportional to 228,323.81 and 324,541.69

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Solution

The third proportional to 228,323.81 and 324,541.69 is: 461,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,323.81 : 324,541.69 = 324,541.69 : x
  2. Step 2: Convert to fraction form
    228,323.81/324,541.69 = 324,541.69/x
  3. Step 3: Cross multiply
    228,323.81x = 324,541.69 × 324,541.69
  4. Step 4: Simplify right side
    228,323.81x = 105,327,306,925.35
  5. Step 5: Solve for x
    x = 105,327,306,925.35/228,323.81
  6. Step 6: Final answer
    x = 461,306.71

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.