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Finding the Third Proportional to 131,969 and 287,754

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Solution

The third proportional to 131,969 and 287,754 is: 627,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,969 : 287,754 = 287,754 : x
  2. Step 2: Convert to fraction form
    131,969/287,754 = 287,754/x
  3. Step 3: Cross multiply
    131,969x = 287,754 × 287,754
  4. Step 4: Simplify right side
    131,969x = 82,802,364,516
  5. Step 5: Solve for x
    x = 82,802,364,516/131,969
  6. Step 6: Final answer
    x = 627,437.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.