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Finding the Third Proportional to 103,740 and 227,566

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Solution

The third proportional to 103,740 and 227,566 is: 499,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,740 : 227,566 = 227,566 : x
  2. Step 2: Convert to fraction form
    103,740/227,566 = 227,566/x
  3. Step 3: Cross multiply
    103,740x = 227,566 × 227,566
  4. Step 4: Simplify right side
    103,740x = 51,786,284,356
  5. Step 5: Solve for x
    x = 51,786,284,356/103,740
  6. Step 6: Final answer
    x = 499,193.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.