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Finding the Third Proportional to 178,643.50 and 284,365.25

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Solution

The third proportional to 178,643.50 and 284,365.25 is: 452,653.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,643.50 : 284,365.25 = 284,365.25 : x
  2. Step 2: Convert to fraction form
    178,643.50/284,365.25 = 284,365.25/x
  3. Step 3: Cross multiply
    178,643.50x = 284,365.25 × 284,365.25
  4. Step 4: Simplify right side
    178,643.50x = 80,863,595,407.56
  5. Step 5: Solve for x
    x = 80,863,595,407.56/178,643.50
  6. Step 6: Final answer
    x = 452,653.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.