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Finding the Third Proportional to 151,566 and 233,667

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Solution

The third proportional to 151,566 and 233,667 is: 360,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,566 : 233,667 = 233,667 : x
  2. Step 2: Convert to fraction form
    151,566/233,667 = 233,667/x
  3. Step 3: Cross multiply
    151,566x = 233,667 × 233,667
  4. Step 4: Simplify right side
    151,566x = 54,600,266,889
  5. Step 5: Solve for x
    x = 54,600,266,889/151,566
  6. Step 6: Final answer
    x = 360,240.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.