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Finding the Third Proportional to 133,423.50 and 206,028

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Solution

The third proportional to 133,423.50 and 206,028 is: 318,141.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,423.50 : 206,028 = 206,028 : x
  2. Step 2: Convert to fraction form
    133,423.50/206,028 = 206,028/x
  3. Step 3: Cross multiply
    133,423.50x = 206,028 × 206,028
  4. Step 4: Simplify right side
    133,423.50x = 42,447,536,784
  5. Step 5: Solve for x
    x = 42,447,536,784/133,423.50
  6. Step 6: Final answer
    x = 318,141.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.