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Finding the Third Proportional to 170,529 and 284,197.50

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Solution

The third proportional to 170,529 and 284,197.50 is: 473,633.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,529 : 284,197.50 = 284,197.50 : x
  2. Step 2: Convert to fraction form
    170,529/284,197.50 = 284,197.50/x
  3. Step 3: Cross multiply
    170,529x = 284,197.50 × 284,197.50
  4. Step 4: Simplify right side
    170,529x = 80,768,219,006.25
  5. Step 5: Solve for x
    x = 80,768,219,006.25/170,529
  6. Step 6: Final answer
    x = 473,633.34

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.