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Finding the Third Proportional to 103,634 and 216,652

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Solution

The third proportional to 103,634 and 216,652 is: 452,921.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 216,652 = 216,652 : x
  2. Step 2: Convert to fraction form
    103,634/216,652 = 216,652/x
  3. Step 3: Cross multiply
    103,634x = 216,652 × 216,652
  4. Step 4: Simplify right side
    103,634x = 46,938,089,104
  5. Step 5: Solve for x
    x = 46,938,089,104/103,634
  6. Step 6: Final answer
    x = 452,921.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.