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Finding the Third Proportional to 200,043 and 436,034.25

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Solution

The third proportional to 200,043 and 436,034.25 is: 950,424.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,043 : 436,034.25 = 436,034.25 : x
  2. Step 2: Convert to fraction form
    200,043/436,034.25 = 436,034.25/x
  3. Step 3: Cross multiply
    200,043x = 436,034.25 × 436,034.25
  4. Step 4: Simplify right side
    200,043x = 190,125,867,173.06
  5. Step 5: Solve for x
    x = 190,125,867,173.06/200,043
  6. Step 6: Final answer
    x = 950,424.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.