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Finding the Third Proportional to 170,560.69 and 264,832.03

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Solution

The third proportional to 170,560.69 and 264,832.03 is: 411,208.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,560.69 : 264,832.03 = 264,832.03 : x
  2. Step 2: Convert to fraction form
    170,560.69/264,832.03 = 264,832.03/x
  3. Step 3: Cross multiply
    170,560.69x = 264,832.03 × 264,832.03
  4. Step 4: Simplify right side
    170,560.69x = 70,136,004,776.00
  5. Step 5: Solve for x
    x = 70,136,004,776.00/170,560.69
  6. Step 6: Final answer
    x = 411,208.50

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.