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Finding the Third Proportional to 229,657.50 and 326,625

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Solution

The third proportional to 229,657.50 and 326,625 is: 464,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,657.50 : 326,625 = 326,625 : x
  2. Step 2: Convert to fraction form
    229,657.50/326,625 = 326,625/x
  3. Step 3: Cross multiply
    229,657.50x = 326,625 × 326,625
  4. Step 4: Simplify right side
    229,657.50x = 106,683,890,625
  5. Step 5: Solve for x
    x = 106,683,890,625/229,657.50
  6. Step 6: Final answer
    x = 464,534.76

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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.