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Finding the Third Proportional to 227,710.50 and 334,182

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Solution

The third proportional to 227,710.50 and 334,182 is: 490,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,710.50 : 334,182 = 334,182 : x
  2. Step 2: Convert to fraction form
    227,710.50/334,182 = 334,182/x
  3. Step 3: Cross multiply
    227,710.50x = 334,182 × 334,182
  4. Step 4: Simplify right side
    227,710.50x = 111,677,609,124
  5. Step 5: Solve for x
    x = 111,677,609,124/227,710.50
  6. Step 6: Final answer
    x = 490,436.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.