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Finding the Third Proportional to 233,642 and 355,083

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Solution

The third proportional to 233,642 and 355,083 is: 539,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,642 : 355,083 = 355,083 : x
  2. Step 2: Convert to fraction form
    233,642/355,083 = 355,083/x
  3. Step 3: Cross multiply
    233,642x = 355,083 × 355,083
  4. Step 4: Simplify right side
    233,642x = 126,083,936,889
  5. Step 5: Solve for x
    x = 126,083,936,889/233,642
  6. Step 6: Final answer
    x = 539,645.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.