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Finding the Third Proportional to 84,616.50 and 200,475

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Solution

The third proportional to 84,616.50 and 200,475 is: 474,969.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,616.50 : 200,475 = 200,475 : x
  2. Step 2: Convert to fraction form
    84,616.50/200,475 = 200,475/x
  3. Step 3: Cross multiply
    84,616.50x = 200,475 × 200,475
  4. Step 4: Simplify right side
    84,616.50x = 40,190,225,625
  5. Step 5: Solve for x
    x = 40,190,225,625/84,616.50
  6. Step 6: Final answer
    x = 474,969.13

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.