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Finding the Third Proportional to 133,542 and 284,458.50

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Solution

The third proportional to 133,542 and 284,458.50 is: 605,926.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,542 : 284,458.50 = 284,458.50 : x
  2. Step 2: Convert to fraction form
    133,542/284,458.50 = 284,458.50/x
  3. Step 3: Cross multiply
    133,542x = 284,458.50 × 284,458.50
  4. Step 4: Simplify right side
    133,542x = 80,916,638,222.25
  5. Step 5: Solve for x
    x = 80,916,638,222.25/133,542
  6. Step 6: Final answer
    x = 605,926.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.