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Finding the Third Proportional to 171,468.75 and 231,302.25

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Solution

The third proportional to 171,468.75 and 231,302.25 is: 312,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,468.75 : 231,302.25 = 231,302.25 : x
  2. Step 2: Convert to fraction form
    171,468.75/231,302.25 = 231,302.25/x
  3. Step 3: Cross multiply
    171,468.75x = 231,302.25 × 231,302.25
  4. Step 4: Simplify right side
    171,468.75x = 53,500,730,855.06
  5. Step 5: Solve for x
    x = 53,500,730,855.06/171,468.75
  6. Step 6: Final answer
    x = 312,014.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.