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Finding the Third Proportional to 201,942 and 437,314

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Solution

The third proportional to 201,942 and 437,314 is: 947,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,942 : 437,314 = 437,314 : x
  2. Step 2: Convert to fraction form
    201,942/437,314 = 437,314/x
  3. Step 3: Cross multiply
    201,942x = 437,314 × 437,314
  4. Step 4: Simplify right side
    201,942x = 191,243,534,596
  5. Step 5: Solve for x
    x = 191,243,534,596/201,942
  6. Step 6: Final answer
    x = 947,022.09

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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.