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Finding the Third Proportional to 197,812 and 292,368

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Solution

The third proportional to 197,812 and 292,368 is: 432,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,812 : 292,368 = 292,368 : x
  2. Step 2: Convert to fraction form
    197,812/292,368 = 292,368/x
  3. Step 3: Cross multiply
    197,812x = 292,368 × 292,368
  4. Step 4: Simplify right side
    197,812x = 85,479,047,424
  5. Step 5: Solve for x
    x = 85,479,047,424/197,812
  6. Step 6: Final answer
    x = 432,122.66

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.