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Finding the Third Proportional to 100,738 and 218,724

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Solution

The third proportional to 100,738 and 218,724 is: 474,897.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,738 : 218,724 = 218,724 : x
  2. Step 2: Convert to fraction form
    100,738/218,724 = 218,724/x
  3. Step 3: Cross multiply
    100,738x = 218,724 × 218,724
  4. Step 4: Simplify right side
    100,738x = 47,840,188,176
  5. Step 5: Solve for x
    x = 47,840,188,176/100,738
  6. Step 6: Final answer
    x = 474,897.14

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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.