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Finding the Third Proportional to 100,232 and 220,304

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Solution

The third proportional to 100,232 and 220,304 is: 484,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232 : 220,304 = 220,304 : x
  2. Step 2: Convert to fraction form
    100,232/220,304 = 220,304/x
  3. Step 3: Cross multiply
    100,232x = 220,304 × 220,304
  4. Step 4: Simplify right side
    100,232x = 48,533,852,416
  5. Step 5: Solve for x
    x = 48,533,852,416/100,232
  6. Step 6: Final answer
    x = 484,215.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.