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Finding the Third Proportional to 200,002.50 and 435,954.38

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Solution

The third proportional to 200,002.50 and 435,954.38 is: 950,269.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,002.50 : 435,954.38 = 435,954.38 : x
  2. Step 2: Convert to fraction form
    200,002.50/435,954.38 = 435,954.38/x
  3. Step 3: Cross multiply
    200,002.50x = 435,954.38 × 435,954.38
  4. Step 4: Simplify right side
    200,002.50x = 190,056,217,081.64
  5. Step 5: Solve for x
    x = 190,056,217,081.64/200,002.50
  6. Step 6: Final answer
    x = 950,269.21

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