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Finding the Third Proportional to 201,899 and 437,237

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Solution

The third proportional to 201,899 and 437,237 is: 946,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,899 : 437,237 = 437,237 : x
  2. Step 2: Convert to fraction form
    201,899/437,237 = 437,237/x
  3. Step 3: Cross multiply
    201,899x = 437,237 × 437,237
  4. Step 4: Simplify right side
    201,899x = 191,176,194,169
  5. Step 5: Solve for x
    x = 191,176,194,169/201,899
  6. Step 6: Final answer
    x = 946,890.25

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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.