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Finding the Third Proportional to 132,786.50 and 287,722.50

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Solution

The third proportional to 132,786.50 and 287,722.50 is: 623,438.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,786.50 : 287,722.50 = 287,722.50 : x
  2. Step 2: Convert to fraction form
    132,786.50/287,722.50 = 287,722.50/x
  3. Step 3: Cross multiply
    132,786.50x = 287,722.50 × 287,722.50
  4. Step 4: Simplify right side
    132,786.50x = 82,784,237,006.25
  5. Step 5: Solve for x
    x = 82,784,237,006.25/132,786.50
  6. Step 6: Final answer
    x = 623,438.66

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.