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Finding the Third Proportional to 103,416 and 227,784

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Solution

The third proportional to 103,416 and 227,784 is: 501,716.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,416 : 227,784 = 227,784 : x
  2. Step 2: Convert to fraction form
    103,416/227,784 = 227,784/x
  3. Step 3: Cross multiply
    103,416x = 227,784 × 227,784
  4. Step 4: Simplify right side
    103,416x = 51,885,550,656
  5. Step 5: Solve for x
    x = 51,885,550,656/103,416
  6. Step 6: Final answer
    x = 501,716.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.