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Finding the Third Proportional to 227,913.75 and 423,300.94

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Solution

The third proportional to 227,913.75 and 423,300.94 is: 786,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,913.75 : 423,300.94 = 423,300.94 : x
  2. Step 2: Convert to fraction form
    227,913.75/423,300.94 = 423,300.94/x
  3. Step 3: Cross multiply
    227,913.75x = 423,300.94 × 423,300.94
  4. Step 4: Simplify right side
    227,913.75x = 179,183,683,688.38
  5. Step 5: Solve for x
    x = 179,183,683,688.38/227,913.75
  6. Step 6: Final answer
    x = 786,190.76

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.