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Finding the Third Proportional to 131,499.63 and 287,602.63

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Solution

The third proportional to 131,499.63 and 287,602.63 is: 629,015.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,499.63 : 287,602.63 = 287,602.63 : x
  2. Step 2: Convert to fraction form
    131,499.63/287,602.63 = 287,602.63/x
  3. Step 3: Cross multiply
    131,499.63x = 287,602.63 × 287,602.63
  4. Step 4: Simplify right side
    131,499.63x = 82,715,269,906.89
  5. Step 5: Solve for x
    x = 82,715,269,906.89/131,499.63
  6. Step 6: Final answer
    x = 629,015.25

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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.