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Finding the Third Proportional to 172,719 and 263,256.75

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Solution

The third proportional to 172,719 and 263,256.75 is: 401,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,719 : 263,256.75 = 263,256.75 : x
  2. Step 2: Convert to fraction form
    172,719/263,256.75 = 263,256.75/x
  3. Step 3: Cross multiply
    172,719x = 263,256.75 × 263,256.75
  4. Step 4: Simplify right side
    172,719x = 69,304,116,420.56
  5. Step 5: Solve for x
    x = 69,304,116,420.56/172,719
  6. Step 6: Final answer
    x = 401,253.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.