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Finding the Third Proportional to 131,403.50 and 287,592.50

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Solution

The third proportional to 131,403.50 and 287,592.50 is: 629,431.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,403.50 : 287,592.50 = 287,592.50 : x
  2. Step 2: Convert to fraction form
    131,403.50/287,592.50 = 287,592.50/x
  3. Step 3: Cross multiply
    131,403.50x = 287,592.50 × 287,592.50
  4. Step 4: Simplify right side
    131,403.50x = 82,709,446,056.25
  5. Step 5: Solve for x
    x = 82,709,446,056.25/131,403.50
  6. Step 6: Final answer
    x = 629,431.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.