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Finding the Third Proportional to 104,020 and 225,320

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Solution

The third proportional to 104,020 and 225,320 is: 488,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,020 : 225,320 = 225,320 : x
  2. Step 2: Convert to fraction form
    104,020/225,320 = 225,320/x
  3. Step 3: Cross multiply
    104,020x = 225,320 × 225,320
  4. Step 4: Simplify right side
    104,020x = 50,769,102,400
  5. Step 5: Solve for x
    x = 50,769,102,400/104,020
  6. Step 6: Final answer
    x = 488,070.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.