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Finding the Third Proportional to 102,604 and 221,012

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Solution

The third proportional to 102,604 and 221,012 is: 476,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604 : 221,012 = 221,012 : x
  2. Step 2: Convert to fraction form
    102,604/221,012 = 221,012/x
  3. Step 3: Cross multiply
    102,604x = 221,012 × 221,012
  4. Step 4: Simplify right side
    102,604x = 48,846,304,144
  5. Step 5: Solve for x
    x = 48,846,304,144/102,604
  6. Step 6: Final answer
    x = 476,066.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.