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Finding the Third Proportional to 132,811 and 287,746

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Solution

The third proportional to 132,811 and 287,746 is: 623,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,811 : 287,746 = 287,746 : x
  2. Step 2: Convert to fraction form
    132,811/287,746 = 287,746/x
  3. Step 3: Cross multiply
    132,811x = 287,746 × 287,746
  4. Step 4: Simplify right side
    132,811x = 82,797,760,516
  5. Step 5: Solve for x
    x = 82,797,760,516/132,811
  6. Step 6: Final answer
    x = 623,425.47

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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.