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Finding the Third Proportional to 85,323 and 183,525

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Solution

The third proportional to 85,323 and 183,525 is: 394,752.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,323 : 183,525 = 183,525 : x
  2. Step 2: Convert to fraction form
    85,323/183,525 = 183,525/x
  3. Step 3: Cross multiply
    85,323x = 183,525 × 183,525
  4. Step 4: Simplify right side
    85,323x = 33,681,425,625
  5. Step 5: Solve for x
    x = 33,681,425,625/85,323
  6. Step 6: Final answer
    x = 394,752.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.