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Finding the Third Proportional to 203,189.63 and 316,418.06

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Solution

The third proportional to 203,189.63 and 316,418.06 is: 492,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,189.63 : 316,418.06 = 316,418.06 : x
  2. Step 2: Convert to fraction form
    203,189.63/316,418.06 = 316,418.06/x
  3. Step 3: Cross multiply
    203,189.63x = 316,418.06 × 316,418.06
  4. Step 4: Simplify right side
    203,189.63x = 100,120,390,276.25
  5. Step 5: Solve for x
    x = 100,120,390,276.25/203,189.63
  6. Step 6: Final answer
    x = 492,743.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.