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Finding the Third Proportional to 105,214.50 and 227,376

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Solution

The third proportional to 105,214.50 and 227,376 is: 491,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,214.50 : 227,376 = 227,376 : x
  2. Step 2: Convert to fraction form
    105,214.50/227,376 = 227,376/x
  3. Step 3: Cross multiply
    105,214.50x = 227,376 × 227,376
  4. Step 4: Simplify right side
    105,214.50x = 51,699,845,376
  5. Step 5: Solve for x
    x = 51,699,845,376/105,214.50
  6. Step 6: Final answer
    x = 491,375.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.