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Finding the Third Proportional to 201,910 and 437,255

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Solution

The third proportional to 201,910 and 437,255 is: 946,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,910 : 437,255 = 437,255 : x
  2. Step 2: Convert to fraction form
    201,910/437,255 = 437,255/x
  3. Step 3: Cross multiply
    201,910x = 437,255 × 437,255
  4. Step 4: Simplify right side
    201,910x = 191,191,935,025
  5. Step 5: Solve for x
    x = 191,191,935,025/201,910
  6. Step 6: Final answer
    x = 946,916.62

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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.