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Finding the Third Proportional to 170,719.31 and 254,907.84

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Solution

The third proportional to 170,719.31 and 254,907.84 is: 380,613.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,719.31 : 254,907.84 = 254,907.84 : x
  2. Step 2: Convert to fraction form
    170,719.31/254,907.84 = 254,907.84/x
  3. Step 3: Cross multiply
    170,719.31x = 254,907.84 × 254,907.84
  4. Step 4: Simplify right side
    170,719.31x = 64,978,008,805.27
  5. Step 5: Solve for x
    x = 64,978,008,805.27/170,719.31
  6. Step 6: Final answer
    x = 380,613.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.