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Finding the Third Proportional to 103,686 and 227,541

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Solution

The third proportional to 103,686 and 227,541 is: 499,343.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,686 : 227,541 = 227,541 : x
  2. Step 2: Convert to fraction form
    103,686/227,541 = 227,541/x
  3. Step 3: Cross multiply
    103,686x = 227,541 × 227,541
  4. Step 4: Simplify right side
    103,686x = 51,774,906,681
  5. Step 5: Solve for x
    x = 51,774,906,681/103,686
  6. Step 6: Final answer
    x = 499,343.27

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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.