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Finding the Third Proportional to 103,552 and 221,852

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Solution

The third proportional to 103,552 and 221,852 is: 475,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,552 : 221,852 = 221,852 : x
  2. Step 2: Convert to fraction form
    103,552/221,852 = 221,852/x
  3. Step 3: Cross multiply
    103,552x = 221,852 × 221,852
  4. Step 4: Simplify right side
    103,552x = 49,218,309,904
  5. Step 5: Solve for x
    x = 49,218,309,904/103,552
  6. Step 6: Final answer
    x = 475,300.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.