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Finding the Third Proportional to 132,980 and 287,096

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Solution

The third proportional to 132,980 and 287,096 is: 619,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,980 : 287,096 = 287,096 : x
  2. Step 2: Convert to fraction form
    132,980/287,096 = 287,096/x
  3. Step 3: Cross multiply
    132,980x = 287,096 × 287,096
  4. Step 4: Simplify right side
    132,980x = 82,424,113,216
  5. Step 5: Solve for x
    x = 82,424,113,216/132,980
  6. Step 6: Final answer
    x = 619,823.38

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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.