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Finding the Third Proportional to 103,284 and 225,520

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Solution

The third proportional to 103,284 and 225,520 is: 492,421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284 : 225,520 = 225,520 : x
  2. Step 2: Convert to fraction form
    103,284/225,520 = 225,520/x
  3. Step 3: Cross multiply
    103,284x = 225,520 × 225,520
  4. Step 4: Simplify right side
    103,284x = 50,859,270,400
  5. Step 5: Solve for x
    x = 50,859,270,400/103,284
  6. Step 6: Final answer
    x = 492,421.58

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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.