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Finding the Third Proportional to 203,271.75 and 316,167.75

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Solution

The third proportional to 203,271.75 and 316,167.75 is: 491,765.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,271.75 : 316,167.75 = 316,167.75 : x
  2. Step 2: Convert to fraction form
    203,271.75/316,167.75 = 316,167.75/x
  3. Step 3: Cross multiply
    203,271.75x = 316,167.75 × 316,167.75
  4. Step 4: Simplify right side
    203,271.75x = 99,962,046,140.06
  5. Step 5: Solve for x
    x = 99,962,046,140.06/203,271.75
  6. Step 6: Final answer
    x = 491,765.56

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Why These Related Problems?

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