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Finding the Third Proportional to 132,769.13 and 287,671.50

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Solution

The third proportional to 132,769.13 and 287,671.50 is: 623,299.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,769.13 : 287,671.50 = 287,671.50 : x
  2. Step 2: Convert to fraction form
    132,769.13/287,671.50 = 287,671.50/x
  3. Step 3: Cross multiply
    132,769.13x = 287,671.50 × 287,671.50
  4. Step 4: Simplify right side
    132,769.13x = 82,754,891,912.25
  5. Step 5: Solve for x
    x = 82,754,891,912.25/132,769.13
  6. Step 6: Final answer
    x = 623,299.22

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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.