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Finding the Third Proportional to 201,056 and 437,088

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Solution

The third proportional to 201,056 and 437,088 is: 950,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,056 : 437,088 = 437,088 : x
  2. Step 2: Convert to fraction form
    201,056/437,088 = 437,088/x
  3. Step 3: Cross multiply
    201,056x = 437,088 × 437,088
  4. Step 4: Simplify right side
    201,056x = 191,045,919,744
  5. Step 5: Solve for x
    x = 191,045,919,744/201,056
  6. Step 6: Final answer
    x = 950,212.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.