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Finding the Third Proportional to 132,848 and 287,404

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Solution

The third proportional to 132,848 and 287,404 is: 621,771.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,848 : 287,404 = 287,404 : x
  2. Step 2: Convert to fraction form
    132,848/287,404 = 287,404/x
  3. Step 3: Cross multiply
    132,848x = 287,404 × 287,404
  4. Step 4: Simplify right side
    132,848x = 82,601,059,216
  5. Step 5: Solve for x
    x = 82,601,059,216/132,848
  6. Step 6: Final answer
    x = 621,771.19

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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.