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Finding the Third Proportional to 133,841.50 and 178,434

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Solution

The third proportional to 133,841.50 and 178,434 is: 237,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,841.50 : 178,434 = 178,434 : x
  2. Step 2: Convert to fraction form
    133,841.50/178,434 = 178,434/x
  3. Step 3: Cross multiply
    133,841.50x = 178,434 × 178,434
  4. Step 4: Simplify right side
    133,841.50x = 31,838,692,356
  5. Step 5: Solve for x
    x = 31,838,692,356/133,841.50
  6. Step 6: Final answer
    x = 237,883.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.