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Finding the Third Proportional to 131,496.75 and 287,597.25

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Solution

The third proportional to 131,496.75 and 287,597.25 is: 629,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,496.75 : 287,597.25 = 287,597.25 : x
  2. Step 2: Convert to fraction form
    131,496.75/287,597.25 = 287,597.25/x
  3. Step 3: Cross multiply
    131,496.75x = 287,597.25 × 287,597.25
  4. Step 4: Simplify right side
    131,496.75x = 82,712,178,207.56
  5. Step 5: Solve for x
    x = 82,712,178,207.56/131,496.75
  6. Step 6: Final answer
    x = 629,005.49

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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.