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Finding the Third Proportional to 132,849 and 287,405

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Solution

The third proportional to 132,849 and 287,405 is: 621,770.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,849 : 287,405 = 287,405 : x
  2. Step 2: Convert to fraction form
    132,849/287,405 = 287,405/x
  3. Step 3: Cross multiply
    132,849x = 287,405 × 287,405
  4. Step 4: Simplify right side
    132,849x = 82,601,634,025
  5. Step 5: Solve for x
    x = 82,601,634,025/132,849
  6. Step 6: Final answer
    x = 621,770.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.