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Finding the Third Proportional to 100,240 and 214,304

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Solution

The third proportional to 100,240 and 214,304 is: 458,162.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,240 : 214,304 = 214,304 : x
  2. Step 2: Convert to fraction form
    100,240/214,304 = 214,304/x
  3. Step 3: Cross multiply
    100,240x = 214,304 × 214,304
  4. Step 4: Simplify right side
    100,240x = 45,926,204,416
  5. Step 5: Solve for x
    x = 45,926,204,416/100,240
  6. Step 6: Final answer
    x = 458,162.45

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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.