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Finding the Third Proportional to 107,230.50 and 229,185

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Solution

The third proportional to 107,230.50 and 229,185 is: 489,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,230.50 : 229,185 = 229,185 : x
  2. Step 2: Convert to fraction form
    107,230.50/229,185 = 229,185/x
  3. Step 3: Cross multiply
    107,230.50x = 229,185 × 229,185
  4. Step 4: Simplify right side
    107,230.50x = 52,525,764,225
  5. Step 5: Solve for x
    x = 52,525,764,225/107,230.50
  6. Step 6: Final answer
    x = 489,839.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.