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Finding the Third Proportional to 201,671 and 254,865

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Solution

The third proportional to 201,671 and 254,865 is: 322,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,671 : 254,865 = 254,865 : x
  2. Step 2: Convert to fraction form
    201,671/254,865 = 254,865/x
  3. Step 3: Cross multiply
    201,671x = 254,865 × 254,865
  4. Step 4: Simplify right side
    201,671x = 64,956,168,225
  5. Step 5: Solve for x
    x = 64,956,168,225/201,671
  6. Step 6: Final answer
    x = 322,089.78

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.