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Finding the Third Proportional to 131,325 and 256,084.50

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Solution

The third proportional to 131,325 and 256,084.50 is: 499,366.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,325 : 256,084.50 = 256,084.50 : x
  2. Step 2: Convert to fraction form
    131,325/256,084.50 = 256,084.50/x
  3. Step 3: Cross multiply
    131,325x = 256,084.50 × 256,084.50
  4. Step 4: Simplify right side
    131,325x = 65,579,271,140.25
  5. Step 5: Solve for x
    x = 65,579,271,140.25/131,325
  6. Step 6: Final answer
    x = 499,366.24

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.