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Finding the Third Proportional to 170,912.25 and 265,327.88

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Solution

The third proportional to 170,912.25 and 265,327.88 is: 411,900.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,912.25 : 265,327.88 = 265,327.88 : x
  2. Step 2: Convert to fraction form
    170,912.25/265,327.88 = 265,327.88/x
  3. Step 3: Cross multiply
    170,912.25x = 265,327.88 × 265,327.88
  4. Step 4: Simplify right side
    170,912.25x = 70,398,881,252.02
  5. Step 5: Solve for x
    x = 70,398,881,252.02/170,912.25
  6. Step 6: Final answer
    x = 411,900.73

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Why These Related Problems?

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