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Finding the Third Proportional to 200,043 and 472,213.50

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Solution

The third proportional to 200,043 and 472,213.50 is: 1,114,688.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,043 : 472,213.50 = 472,213.50 : x
  2. Step 2: Convert to fraction form
    200,043/472,213.50 = 472,213.50/x
  3. Step 3: Cross multiply
    200,043x = 472,213.50 × 472,213.50
  4. Step 4: Simplify right side
    200,043x = 222,985,589,582.25
  5. Step 5: Solve for x
    x = 222,985,589,582.25/200,043
  6. Step 6: Final answer
    x = 1,114,688.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.