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Finding the Third Proportional to 201,204 and 437,076

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Solution

The third proportional to 201,204 and 437,076 is: 949,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204 : 437,076 = 437,076 : x
  2. Step 2: Convert to fraction form
    201,204/437,076 = 437,076/x
  3. Step 3: Cross multiply
    201,204x = 437,076 × 437,076
  4. Step 4: Simplify right side
    201,204x = 191,035,429,776
  5. Step 5: Solve for x
    x = 191,035,429,776/201,204
  6. Step 6: Final answer
    x = 949,461.39

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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.