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Finding the Third Proportional to 100,305 and 241,678.50

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Solution

The third proportional to 100,305 and 241,678.50 is: 582,308.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,305 : 241,678.50 = 241,678.50 : x
  2. Step 2: Convert to fraction form
    100,305/241,678.50 = 241,678.50/x
  3. Step 3: Cross multiply
    100,305x = 241,678.50 × 241,678.50
  4. Step 4: Simplify right side
    100,305x = 58,408,497,362.25
  5. Step 5: Solve for x
    x = 58,408,497,362.25/100,305
  6. Step 6: Final answer
    x = 582,308.93

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.