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Finding the Third Proportional to 170,530.50 and 284,199.75

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Solution

The third proportional to 170,530.50 and 284,199.75 is: 473,636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,530.50 : 284,199.75 = 284,199.75 : x
  2. Step 2: Convert to fraction form
    170,530.50/284,199.75 = 284,199.75/x
  3. Step 3: Cross multiply
    170,530.50x = 284,199.75 × 284,199.75
  4. Step 4: Simplify right side
    170,530.50x = 80,769,497,900.06
  5. Step 5: Solve for x
    x = 80,769,497,900.06/170,530.50
  6. Step 6: Final answer
    x = 473,636.67

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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.