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Finding the Third Proportional to 84,645 and 200,533.50

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Solution

The third proportional to 84,645 and 200,533.50 is: 475,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,645 : 200,533.50 = 200,533.50 : x
  2. Step 2: Convert to fraction form
    84,645/200,533.50 = 200,533.50/x
  3. Step 3: Cross multiply
    84,645x = 200,533.50 × 200,533.50
  4. Step 4: Simplify right side
    84,645x = 40,213,684,622.25
  5. Step 5: Solve for x
    x = 40,213,684,622.25/84,645
  6. Step 6: Final answer
    x = 475,086.36

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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.