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Finding the Third Proportional to 231,730.88 and 328,596.75

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Solution

The third proportional to 231,730.88 and 328,596.75 is: 465,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,730.88 : 328,596.75 = 328,596.75 : x
  2. Step 2: Convert to fraction form
    231,730.88/328,596.75 = 328,596.75/x
  3. Step 3: Cross multiply
    231,730.88x = 328,596.75 × 328,596.75
  4. Step 4: Simplify right side
    231,730.88x = 107,975,824,110.56
  5. Step 5: Solve for x
    x = 107,975,824,110.56/231,730.88
  6. Step 6: Final answer
    x = 465,953.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.