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Finding the Third Proportional to 204,614 and 310,080

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Solution

The third proportional to 204,614 and 310,080 is: 469,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,614 : 310,080 = 310,080 : x
  2. Step 2: Convert to fraction form
    204,614/310,080 = 310,080/x
  3. Step 3: Cross multiply
    204,614x = 310,080 × 310,080
  4. Step 4: Simplify right side
    204,614x = 96,149,606,400
  5. Step 5: Solve for x
    x = 96,149,606,400/204,614
  6. Step 6: Final answer
    x = 469,907.27

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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.