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Finding the Third Proportional to 195,436.50 and 428,277

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Solution

The third proportional to 195,436.50 and 428,277 is: 938,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,436.50 : 428,277 = 428,277 : x
  2. Step 2: Convert to fraction form
    195,436.50/428,277 = 428,277/x
  3. Step 3: Cross multiply
    195,436.50x = 428,277 × 428,277
  4. Step 4: Simplify right side
    195,436.50x = 183,421,188,729
  5. Step 5: Solve for x
    x = 183,421,188,729/195,436.50
  6. Step 6: Final answer
    x = 938,520.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.