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Finding the Third Proportional to 201,967 and 437,364

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Solution

The third proportional to 201,967 and 437,364 is: 947,121.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,967 : 437,364 = 437,364 : x
  2. Step 2: Convert to fraction form
    201,967/437,364 = 437,364/x
  3. Step 3: Cross multiply
    201,967x = 437,364 × 437,364
  4. Step 4: Simplify right side
    201,967x = 191,287,268,496
  5. Step 5: Solve for x
    x = 191,287,268,496/201,967
  6. Step 6: Final answer
    x = 947,121.40

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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.