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Finding the Third Proportional to 200,732 and 433,144

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Solution

The third proportional to 200,732 and 433,144 is: 934,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732 : 433,144 = 433,144 : x
  2. Step 2: Convert to fraction form
    200,732/433,144 = 433,144/x
  3. Step 3: Cross multiply
    200,732x = 433,144 × 433,144
  4. Step 4: Simplify right side
    200,732x = 187,613,724,736
  5. Step 5: Solve for x
    x = 187,613,724,736/200,732
  6. Step 6: Final answer
    x = 934,647.81

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.