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Finding the Third Proportional to 194,771 and 292,277

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Solution

The third proportional to 194,771 and 292,277 is: 438,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,771 : 292,277 = 292,277 : x
  2. Step 2: Convert to fraction form
    194,771/292,277 = 292,277/x
  3. Step 3: Cross multiply
    194,771x = 292,277 × 292,277
  4. Step 4: Simplify right side
    194,771x = 85,425,844,729
  5. Step 5: Solve for x
    x = 85,425,844,729/194,771
  6. Step 6: Final answer
    x = 438,596.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.