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Finding the Third Proportional to 170,191.50 and 282,664.50

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Solution

The third proportional to 170,191.50 and 282,664.50 is: 469,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,191.50 : 282,664.50 = 282,664.50 : x
  2. Step 2: Convert to fraction form
    170,191.50/282,664.50 = 282,664.50/x
  3. Step 3: Cross multiply
    170,191.50x = 282,664.50 × 282,664.50
  4. Step 4: Simplify right side
    170,191.50x = 79,899,219,560.25
  5. Step 5: Solve for x
    x = 79,899,219,560.25/170,191.50
  6. Step 6: Final answer
    x = 469,466.57

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.