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Finding the Third Proportional to 103,634 and 223,124

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Solution

The third proportional to 103,634 and 223,124 is: 480,385.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 223,124 = 223,124 : x
  2. Step 2: Convert to fraction form
    103,634/223,124 = 223,124/x
  3. Step 3: Cross multiply
    103,634x = 223,124 × 223,124
  4. Step 4: Simplify right side
    103,634x = 49,784,319,376
  5. Step 5: Solve for x
    x = 49,784,319,376/103,634
  6. Step 6: Final answer
    x = 480,385.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.