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Finding the Third Proportional to 131,760 and 292,993.88

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Solution

The third proportional to 131,760 and 292,993.88 is: 651,528.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,760 : 292,993.88 = 292,993.88 : x
  2. Step 2: Convert to fraction form
    131,760/292,993.88 = 292,993.88/x
  3. Step 3: Cross multiply
    131,760x = 292,993.88 × 292,993.88
  4. Step 4: Simplify right side
    131,760x = 85,845,410,787.52
  5. Step 5: Solve for x
    x = 85,845,410,787.52/131,760
  6. Step 6: Final answer
    x = 651,528.62

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.