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Finding the Third Proportional to 103,624 and 225,984

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Solution

The third proportional to 103,624 and 225,984 is: 492,827.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624 : 225,984 = 225,984 : x
  2. Step 2: Convert to fraction form
    103,624/225,984 = 225,984/x
  3. Step 3: Cross multiply
    103,624x = 225,984 × 225,984
  4. Step 4: Simplify right side
    103,624x = 51,068,768,256
  5. Step 5: Solve for x
    x = 51,068,768,256/103,624
  6. Step 6: Final answer
    x = 492,827.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.