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Finding the Third Proportional to 101,619 and 233,719

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Solution

The third proportional to 101,619 and 233,719 is: 537,542.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,619 : 233,719 = 233,719 : x
  2. Step 2: Convert to fraction form
    101,619/233,719 = 233,719/x
  3. Step 3: Cross multiply
    101,619x = 233,719 × 233,719
  4. Step 4: Simplify right side
    101,619x = 54,624,570,961
  5. Step 5: Solve for x
    x = 54,624,570,961/101,619
  6. Step 6: Final answer
    x = 537,542.89

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.