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Finding the Third Proportional to 170,462.25 and 260,883

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Solution

The third proportional to 170,462.25 and 260,883 is: 399,266.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,462.25 : 260,883 = 260,883 : x
  2. Step 2: Convert to fraction form
    170,462.25/260,883 = 260,883/x
  3. Step 3: Cross multiply
    170,462.25x = 260,883 × 260,883
  4. Step 4: Simplify right side
    170,462.25x = 68,059,939,689
  5. Step 5: Solve for x
    x = 68,059,939,689/170,462.25
  6. Step 6: Final answer
    x = 399,266.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.