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Finding the Third Proportional to 135,695 and 289,425

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Solution

The third proportional to 135,695 and 289,425 is: 617,317.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,695 : 289,425 = 289,425 : x
  2. Step 2: Convert to fraction form
    135,695/289,425 = 289,425/x
  3. Step 3: Cross multiply
    135,695x = 289,425 × 289,425
  4. Step 4: Simplify right side
    135,695x = 83,766,830,625
  5. Step 5: Solve for x
    x = 83,766,830,625/135,695
  6. Step 6: Final answer
    x = 617,317.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.